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Finding the Third Proportional to 103,639 and 224,775

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Solution

The third proportional to 103,639 and 224,775 is: 487,497.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,639 : 224,775 = 224,775 : x
  2. Step 2: Convert to fraction form
    103,639/224,775 = 224,775/x
  3. Step 3: Cross multiply
    103,639x = 224,775 × 224,775
  4. Step 4: Simplify right side
    103,639x = 50,523,800,625
  5. Step 5: Solve for x
    x = 50,523,800,625/103,639
  6. Step 6: Final answer
    x = 487,497.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.