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Finding the Third Proportional to 126,464.25 and 267,751.50

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Solution

The third proportional to 126,464.25 and 267,751.50 is: 566,886.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,464.25 : 267,751.50 = 267,751.50 : x
  2. Step 2: Convert to fraction form
    126,464.25/267,751.50 = 267,751.50/x
  3. Step 3: Cross multiply
    126,464.25x = 267,751.50 × 267,751.50
  4. Step 4: Simplify right side
    126,464.25x = 71,690,865,752.25
  5. Step 5: Solve for x
    x = 71,690,865,752.25/126,464.25
  6. Step 6: Final answer
    x = 566,886.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.