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Finding the Third Proportional to 103,839 and 227,331

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Solution

The third proportional to 103,839 and 227,331 is: 497,687.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,839 : 227,331 = 227,331 : x
  2. Step 2: Convert to fraction form
    103,839/227,331 = 227,331/x
  3. Step 3: Cross multiply
    103,839x = 227,331 × 227,331
  4. Step 4: Simplify right side
    103,839x = 51,679,383,561
  5. Step 5: Solve for x
    x = 51,679,383,561/103,839
  6. Step 6: Final answer
    x = 497,687.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.