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Finding the Third Proportional to 126,816.75 and 267,779.25

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Solution

The third proportional to 126,816.75 and 267,779.25 is: 565,427.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,816.75 : 267,779.25 = 267,779.25 : x
  2. Step 2: Convert to fraction form
    126,816.75/267,779.25 = 267,779.25/x
  3. Step 3: Cross multiply
    126,816.75x = 267,779.25 × 267,779.25
  4. Step 4: Simplify right side
    126,816.75x = 71,705,726,730.56
  5. Step 5: Solve for x
    x = 71,705,726,730.56/126,816.75
  6. Step 6: Final answer
    x = 565,427.88

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.