Do you mean duplicate an image later then transform the duped layer. So you have the image in two layer that have different sizes?
I want to be able to take an image from a PNG file then scale a second outline of the image up or down so that the second outline is parallel to the first, just a different overall size. The file image is not a photo it's just an outline of a shape.
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I think Image > Canvas Size is what you want.
For a more ad hoc approach you can also use the crop tool and drag outwards.
Which versions of photoshop have this feature? What would be the cheapest?
Layer > Duplicate Layer , to copy your png image
Edit > Edge Transform (Ctrl or Cmd + T),
Hold Alt + Shift, drag out the corner to resize, Alt expands from the center, Shift holds the image ratio constant.
Press Enter or Click on the Checkmark on the Transform toolbar to save changes.
Here's a Seqoe font character opened as a png file, duplicated, and resized.
It seems to me the whole point here is to not resize the image.
Techracer, Canvas Size has been with Photoshop since the beginning. It's one of the most basic functions.