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Finding the Third Proportional to 100,008 and 217,552

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Solution

The third proportional to 100,008 and 217,552 is: 473,250.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,008 : 217,552 = 217,552 : x
  2. Step 2: Convert to fraction form
    100,008/217,552 = 217,552/x
  3. Step 3: Cross multiply
    100,008x = 217,552 × 217,552
  4. Step 4: Simplify right side
    100,008x = 47,328,872,704
  5. Step 5: Solve for x
    x = 47,328,872,704/100,008
  6. Step 6: Final answer
    x = 473,250.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.