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Finding the Third Proportional to 130,996 and 267,496

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Solution

The third proportional to 130,996 and 267,496 is: 546,231.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,996 : 267,496 = 267,496 : x
  2. Step 2: Convert to fraction form
    130,996/267,496 = 267,496/x
  3. Step 3: Cross multiply
    130,996x = 267,496 × 267,496
  4. Step 4: Simplify right side
    130,996x = 71,554,110,016
  5. Step 5: Solve for x
    x = 71,554,110,016/130,996
  6. Step 6: Final answer
    x = 546,231.26

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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.