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Finding the Third Proportional to 115,239.75 and 251,493

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Solution

The third proportional to 115,239.75 and 251,493 is: 548,844.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,239.75 : 251,493 = 251,493 : x
  2. Step 2: Convert to fraction form
    115,239.75/251,493 = 251,493/x
  3. Step 3: Cross multiply
    115,239.75x = 251,493 × 251,493
  4. Step 4: Simplify right side
    115,239.75x = 63,248,729,049
  5. Step 5: Solve for x
    x = 63,248,729,049/115,239.75
  6. Step 6: Final answer
    x = 548,844.73

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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.