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Finding the Third Proportional to 107,799.75 and 251,788.50

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Solution

The third proportional to 107,799.75 and 251,788.50 is: 588,103.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,799.75 : 251,788.50 = 251,788.50 : x
  2. Step 2: Convert to fraction form
    107,799.75/251,788.50 = 251,788.50/x
  3. Step 3: Cross multiply
    107,799.75x = 251,788.50 × 251,788.50
  4. Step 4: Simplify right side
    107,799.75x = 63,397,448,732.25
  5. Step 5: Solve for x
    x = 63,397,448,732.25/107,799.75
  6. Step 6: Final answer
    x = 588,103.86

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.