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Finding the Third Proportional to 123,932 and 267,736

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Solution

The third proportional to 123,932 and 267,736 is: 578,402.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,932 : 267,736 = 267,736 : x
  2. Step 2: Convert to fraction form
    123,932/267,736 = 267,736/x
  3. Step 3: Cross multiply
    123,932x = 267,736 × 267,736
  4. Step 4: Simplify right side
    123,932x = 71,682,565,696
  5. Step 5: Solve for x
    x = 71,682,565,696/123,932
  6. Step 6: Final answer
    x = 578,402.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.