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Finding the Third Proportional to 95,200 and 207,344

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Solution

The third proportional to 95,200 and 207,344 is: 451,591.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,200 : 207,344 = 207,344 : x
  2. Step 2: Convert to fraction form
    95,200/207,344 = 207,344/x
  3. Step 3: Cross multiply
    95,200x = 207,344 × 207,344
  4. Step 4: Simplify right side
    95,200x = 42,991,534,336
  5. Step 5: Solve for x
    x = 42,991,534,336/95,200
  6. Step 6: Final answer
    x = 451,591.75

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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.