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Finding the Third Proportional to 251,972.25 and 548,229.75

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Solution

The third proportional to 251,972.25 and 548,229.75 is: 1,192,813.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,972.25 : 548,229.75 = 548,229.75 : x
  2. Step 2: Convert to fraction form
    251,972.25/548,229.75 = 548,229.75/x
  3. Step 3: Cross multiply
    251,972.25x = 548,229.75 × 548,229.75
  4. Step 4: Simplify right side
    251,972.25x = 300,555,858,785.06
  5. Step 5: Solve for x
    x = 300,555,858,785.06/251,972.25
  6. Step 6: Final answer
    x = 1,192,813.33

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.