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Finding the Third Proportional to 153,891 and 231,849

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Solution

The third proportional to 153,891 and 231,849 is: 349,298.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,891 : 231,849 = 231,849 : x
  2. Step 2: Convert to fraction form
    153,891/231,849 = 231,849/x
  3. Step 3: Cross multiply
    153,891x = 231,849 × 231,849
  4. Step 4: Simplify right side
    153,891x = 53,753,958,801
  5. Step 5: Solve for x
    x = 53,753,958,801/153,891
  6. Step 6: Final answer
    x = 349,298.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.