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Finding the Third Proportional to 178,008.38 and 267,048

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Solution

The third proportional to 178,008.38 and 267,048 is: 400,625.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,008.38 : 267,048 = 267,048 : x
  2. Step 2: Convert to fraction form
    178,008.38/267,048 = 267,048/x
  3. Step 3: Cross multiply
    178,008.38x = 267,048 × 267,048
  4. Step 4: Simplify right side
    178,008.38x = 71,314,634,304
  5. Step 5: Solve for x
    x = 71,314,634,304/178,008.38
  6. Step 6: Final answer
    x = 400,625.16

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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.