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Finding the Third Proportional to 102,689 and 224,703

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Solution

The third proportional to 102,689 and 224,703 is: 491,692.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,689 : 224,703 = 224,703 : x
  2. Step 2: Convert to fraction form
    102,689/224,703 = 224,703/x
  3. Step 3: Cross multiply
    102,689x = 224,703 × 224,703
  4. Step 4: Simplify right side
    102,689x = 50,491,438,209
  5. Step 5: Solve for x
    x = 50,491,438,209/102,689
  6. Step 6: Final answer
    x = 491,692.76

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.