there's no paradox, just a misunderstanding.
i.e. here the basic issue is that it's really more like two different potatoes, each with different water content but the same amount of flesh; they're different potatoes so obviously they have different masses, and that's the denominator unit of the (water content ratio) fraction in a sense.
Consider: The Potato Conundrum is just not as fun to say or easily memorable (IMHO).