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Finding the Third Proportional to 95,449 and 207,301

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Solution

The third proportional to 95,449 and 207,301 is: 450,226.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,449 : 207,301 = 207,301 : x
  2. Step 2: Convert to fraction form
    95,449/207,301 = 207,301/x
  3. Step 3: Cross multiply
    95,449x = 207,301 × 207,301
  4. Step 4: Simplify right side
    95,449x = 42,973,704,601
  5. Step 5: Solve for x
    x = 42,973,704,601/95,449
  6. Step 6: Final answer
    x = 450,226.87

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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.