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Finding the Third Proportional to 125,182.13 and 278,351.44

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Solution

The third proportional to 125,182.13 and 278,351.44 is: 618,934.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,182.13 : 278,351.44 = 278,351.44 : x
  2. Step 2: Convert to fraction form
    125,182.13/278,351.44 = 278,351.44/x
  3. Step 3: Cross multiply
    125,182.13x = 278,351.44 × 278,351.44
  4. Step 4: Simplify right side
    125,182.13x = 77,479,522,758.32
  5. Step 5: Solve for x
    x = 77,479,522,758.32/125,182.13
  6. Step 6: Final answer
    x = 618,934.39

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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.