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Finding the Third Proportional to 187,092 and 413,559

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Solution

The third proportional to 187,092 and 413,559 is: 914,154.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,092 : 413,559 = 413,559 : x
  2. Step 2: Convert to fraction form
    187,092/413,559 = 413,559/x
  3. Step 3: Cross multiply
    187,092x = 413,559 × 413,559
  4. Step 4: Simplify right side
    187,092x = 171,031,046,481
  5. Step 5: Solve for x
    x = 171,031,046,481/187,092
  6. Step 6: Final answer
    x = 914,154.78

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.