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Finding the Third Proportional to 103,934 and 224,473

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Solution

The third proportional to 103,934 and 224,473 is: 484,808.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,934 : 224,473 = 224,473 : x
  2. Step 2: Convert to fraction form
    103,934/224,473 = 224,473/x
  3. Step 3: Cross multiply
    103,934x = 224,473 × 224,473
  4. Step 4: Simplify right side
    103,934x = 50,388,127,729
  5. Step 5: Solve for x
    x = 50,388,127,729/103,934
  6. Step 6: Final answer
    x = 484,808.90

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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.