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Finding the Third Proportional to 95,257 and 207,446

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Solution

The third proportional to 95,257 and 207,446 is: 451,765.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,257 : 207,446 = 207,446 : x
  2. Step 2: Convert to fraction form
    95,257/207,446 = 207,446/x
  3. Step 3: Cross multiply
    95,257x = 207,446 × 207,446
  4. Step 4: Simplify right side
    95,257x = 43,033,842,916
  5. Step 5: Solve for x
    x = 43,033,842,916/95,257
  6. Step 6: Final answer
    x = 451,765.68

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