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Finding the Third Proportional to 185,976 and 278,241.75

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Solution

The third proportional to 185,976 and 278,241.75 is: 416,282.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,976 : 278,241.75 = 278,241.75 : x
  2. Step 2: Convert to fraction form
    185,976/278,241.75 = 278,241.75/x
  3. Step 3: Cross multiply
    185,976x = 278,241.75 × 278,241.75
  4. Step 4: Simplify right side
    185,976x = 77,418,471,443.06
  5. Step 5: Solve for x
    x = 77,418,471,443.06/185,976
  6. Step 6: Final answer
    x = 416,282.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.