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Finding the Third Proportional to 222,023.25 and 338,560.88

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Solution

The third proportional to 222,023.25 and 338,560.88 is: 516,267.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,023.25 : 338,560.88 = 338,560.88 : x
  2. Step 2: Convert to fraction form
    222,023.25/338,560.88 = 338,560.88/x
  3. Step 3: Cross multiply
    222,023.25x = 338,560.88 × 338,560.88
  4. Step 4: Simplify right side
    222,023.25x = 114,623,466,080.77
  5. Step 5: Solve for x
    x = 114,623,466,080.77/222,023.25
  6. Step 6: Final answer
    x = 516,267.85

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.