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Finding the Third Proportional to 107,740 and 234,469

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Solution

The third proportional to 107,740 and 234,469 is: 510,262.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,740 : 234,469 = 234,469 : x
  2. Step 2: Convert to fraction form
    107,740/234,469 = 234,469/x
  3. Step 3: Cross multiply
    107,740x = 234,469 × 234,469
  4. Step 4: Simplify right side
    107,740x = 54,975,711,961
  5. Step 5: Solve for x
    x = 54,975,711,961/107,740
  6. Step 6: Final answer
    x = 510,262.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.