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Finding the Third Proportional to 125,174.25 and 278,335.13

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Solution

The third proportional to 125,174.25 and 278,335.13 is: 618,900.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,174.25 : 278,335.13 = 278,335.13 : x
  2. Step 2: Convert to fraction form
    125,174.25/278,335.13 = 278,335.13/x
  3. Step 3: Cross multiply
    125,174.25x = 278,335.13 × 278,335.13
  4. Step 4: Simplify right side
    125,174.25x = 77,470,441,808.77
  5. Step 5: Solve for x
    x = 77,470,441,808.77/125,174.25
  6. Step 6: Final answer
    x = 618,900.79

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.