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Finding the Third Proportional to 131,296.13 and 267,405.75

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Solution

The third proportional to 131,296.13 and 267,405.75 is: 544,614.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,296.13 : 267,405.75 = 267,405.75 : x
  2. Step 2: Convert to fraction form
    131,296.13/267,405.75 = 267,405.75/x
  3. Step 3: Cross multiply
    131,296.13x = 267,405.75 × 267,405.75
  4. Step 4: Simplify right side
    131,296.13x = 71,505,835,133.06
  5. Step 5: Solve for x
    x = 71,505,835,133.06/131,296.13
  6. Step 6: Final answer
    x = 544,614.97

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.