Propound vs Hypothesize - What's the difference?

As verbs the difference between propound and hypothesize

is that propound is to put forward; to offer for discussion or debate while hypothesize is (us) to hypothesise.

(en verb)

To put forward; to offer for discussion or debate.

* 2005 , :

Each school propounds its own theory without having given any thought to whether we are following what they say or getting left behind.

(en-verb)

(US) to hypothesise

* guess