Pakistan captain Babar Azam, who saved Pakistan from the jaws of defeat in the second Test in Karachi with a 196 in the second innings, also succumbed to pressure and got out, courtesy a brilliant catch by Steve Smith at first slip.
Australia will play three ODIs and a one-off T20I against Pakistan after the three-Test series.
It was Pakistan's highest partnership at an ICC Women's World Cup.
Pakistan finally declared the innings at 476/4, giving a tricky period to tackle ahead of stumps.
Smith added that it wasn't a great feeling but once things settled down, he had progressed nicely and was hoping to be in the side for the opening Test against Pakistan.
Fawad Ahmed, the former Pakistan-born Australia leg-spinner, will join the Pat Cummins-led men's team as the spin bowling consultant on the tour of his country of origin.
The Australian cricket team last played a series on Pakistani soil in 1998, winning the three-Test series 1-0 and making a clean sweep of the ODI assignment 3-0.
Head was adjudged the 'Player of the Series' following his breakthrough knocks during the Ashes, which the hosts won 4-0.
Steve will miss the remaining three T20Is against Sri Lanka after suffering a concussion while trying to save a six in Australia's sensational second-match win here on Sunday.
Half centuries for Wylie and Miller, as well as 47 from Campbell Kellaway, helped Australia to 276/7 from their 50 overs and that proved far too much for Pakistan.