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Finding the Third Proportional to 165,993 and 251,493

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Solution

The third proportional to 165,993 and 251,493 is: 381,032.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,993 : 251,493 = 251,493 : x
  2. Step 2: Convert to fraction form
    165,993/251,493 = 251,493/x
  3. Step 3: Cross multiply
    165,993x = 251,493 × 251,493
  4. Step 4: Simplify right side
    165,993x = 63,248,729,049
  5. Step 5: Solve for x
    x = 63,248,729,049/165,993
  6. Step 6: Final answer
    x = 381,032.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.