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Finding the Third Proportional to 178,656 and 267,792

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Solution

The third proportional to 178,656 and 267,792 is: 401,400.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,656 : 267,792 = 267,792 : x
  2. Step 2: Convert to fraction form
    178,656/267,792 = 267,792/x
  3. Step 3: Cross multiply
    178,656x = 267,792 × 267,792
  4. Step 4: Simplify right side
    178,656x = 71,712,555,264
  5. Step 5: Solve for x
    x = 71,712,555,264/178,656
  6. Step 6: Final answer
    x = 401,400.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.