Finding the Third Proportional to 206,211.50 and 431,280
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Solution
The third proportional to 206,211.50 and 431,280 is: 901,998.38
Step by Step Solution
- Step 1: Write the proportion equation
206,211.50 : 431,280 = 431,280 : x - Step 2: Convert to fraction form
206,211.50/431,280 = 431,280/x - Step 3: Cross multiply
206,211.50x = 431,280 × 431,280 - Step 4: Simplify right side
206,211.50x = 186,002,438,400 - Step 5: Solve for x
x = 186,002,438,400/206,211.50 - Step 6: Final answer
x = 901,998.38
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Why These Related Problems?
These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.