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Finding the Third Proportional to 100,375 and 218,249

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Solution

The third proportional to 100,375 and 218,249 is: 474,546.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,375 : 218,249 = 218,249 : x
  2. Step 2: Convert to fraction form
    100,375/218,249 = 218,249/x
  3. Step 3: Cross multiply
    100,375x = 218,249 × 218,249
  4. Step 4: Simplify right side
    100,375x = 47,632,626,001
  5. Step 5: Solve for x
    x = 47,632,626,001/100,375
  6. Step 6: Final answer
    x = 474,546.71

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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.