Schur-Weyl duality refers to the duality between the canonical actions of $\text{GL}_n(\mathbb{C})$ and $S_k$ on tensor spaces of the form $V^{\otimes k}$, for a $n$-dimensional vector space $V$. If we consider the symmetric group $S_n$ as a subgroup of $\text{GL}_n(\mathbb{C})$, this gives us an instance of Schur-Weyl duality, in this case between $S_n$ and an algebra $\mathbb{C}A_k(n)$ known as the partition algebra, which is isomorphic to $\text{End}_{S_n}(V^{\otimes k})$ for $2k \leq n$. Partition algebras may be defined using an operation known as diagram multiplication, and this talk will cover how some of the basic properties of partition algebras may be derived using Schur-Weyl duality. The problem of applying some of the main concepts from the preprint https://arxiv.org/abs/1905.02071 to Tanabe algebras will also be considered.