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Finding the Third Proportional to 103,940 and 224,692

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Solution

The third proportional to 103,940 and 224,692 is: 485,727.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,940 : 224,692 = 224,692 : x
  2. Step 2: Convert to fraction form
    103,940/224,692 = 224,692/x
  3. Step 3: Cross multiply
    103,940x = 224,692 × 224,692
  4. Step 4: Simplify right side
    103,940x = 50,486,494,864
  5. Step 5: Solve for x
    x = 50,486,494,864/103,940
  6. Step 6: Final answer
    x = 485,727.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.