A Product-Led Organization is structured to deliver value through the product, with product-oriented leaders.
A Product Operating Model focuses on the way the product/engineering organization operates, with empowered product teams aligned towards customer outcomes.
Product-Led Growth is a go-to-market strategy where the product itself is the main mechanism for acquiring customers.
These terms can coexist and overlap, with a Product Operating Model supporting a Product-Led Organization and a Product-Led Growth strategy.