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Finding the Third Proportional to 107,938 and 224,472

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Solution

The third proportional to 107,938 and 224,472 is: 466,820.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,938 : 224,472 = 224,472 : x
  2. Step 2: Convert to fraction form
    107,938/224,472 = 224,472/x
  3. Step 3: Cross multiply
    107,938x = 224,472 × 224,472
  4. Step 4: Simplify right side
    107,938x = 50,387,678,784
  5. Step 5: Solve for x
    x = 50,387,678,784/107,938
  6. Step 6: Final answer
    x = 466,820.57

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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.