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Finding the Third Proportional to 112,832 and 267,320

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Solution

The third proportional to 112,832 and 267,320 is: 633,330.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,832 : 267,320 = 267,320 : x
  2. Step 2: Convert to fraction form
    112,832/267,320 = 267,320/x
  3. Step 3: Cross multiply
    112,832x = 267,320 × 267,320
  4. Step 4: Simplify right side
    112,832x = 71,459,982,400
  5. Step 5: Solve for x
    x = 71,459,982,400/112,832
  6. Step 6: Final answer
    x = 633,330.81

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.