Finding the Third Proportional to 231,943.50 and 494,262
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Solution
The third proportional to 231,943.50 and 494,262 is: 1,053,251.87
Step by Step Solution
- Step 1: Write the proportion equation
231,943.50 : 494,262 = 494,262 : x - Step 2: Convert to fraction form
231,943.50/494,262 = 494,262/x - Step 3: Cross multiply
231,943.50x = 494,262 × 494,262 - Step 4: Simplify right side
231,943.50x = 244,294,924,644 - Step 5: Solve for x
x = 244,294,924,644/231,943.50 - Step 6: Final answer
x = 1,053,251.87
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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.