Finding the Third Proportional to 206,144 and 434,432
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Solution
The third proportional to 206,144 and 434,432 is: 915,530.71
Step by Step Solution
- Step 1: Write the proportion equation
206,144 : 434,432 = 434,432 : x - Step 2: Convert to fraction form
206,144/434,432 = 434,432/x - Step 3: Cross multiply
206,144x = 434,432 × 434,432 - Step 4: Simplify right side
206,144x = 188,731,162,624 - Step 5: Solve for x
x = 188,731,162,624/206,144 - Step 6: Final answer
x = 915,530.71
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Why These Related Problems?
These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.