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Finding the Third Proportional to 107,932 and 224,459

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Solution

The third proportional to 107,932 and 224,459 is: 466,792.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,932 : 224,459 = 224,459 : x
  2. Step 2: Convert to fraction form
    107,932/224,459 = 224,459/x
  3. Step 3: Cross multiply
    107,932x = 224,459 × 224,459
  4. Step 4: Simplify right side
    107,932x = 50,381,842,681
  5. Step 5: Solve for x
    x = 50,381,842,681/107,932
  6. Step 6: Final answer
    x = 466,792.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.