Finding the Third Proportional to 204,312 and 433,197
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Solution
The third proportional to 204,312 and 433,197 is: 918,495.44
Step by Step Solution
- Step 1: Write the proportion equation
204,312 : 433,197 = 433,197 : x - Step 2: Convert to fraction form
204,312/433,197 = 433,197/x - Step 3: Cross multiply
204,312x = 433,197 × 433,197 - Step 4: Simplify right side
204,312x = 187,659,640,809 - Step 5: Solve for x
x = 187,659,640,809/204,312 - Step 6: Final answer
x = 918,495.44
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Why These Related Problems?
These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.