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Finding the Third Proportional to 130,216 and 267,344

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Solution

The third proportional to 130,216 and 267,344 is: 548,878.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,216 : 267,344 = 267,344 : x
  2. Step 2: Convert to fraction form
    130,216/267,344 = 267,344/x
  3. Step 3: Cross multiply
    130,216x = 267,344 × 267,344
  4. Step 4: Simplify right side
    130,216x = 71,472,814,336
  5. Step 5: Solve for x
    x = 71,472,814,336/130,216
  6. Step 6: Final answer
    x = 548,878.90

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.