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Finding the Third Proportional to 177,382.13 and 267,918.75

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Solution

The third proportional to 177,382.13 and 267,918.75 is: 404,665.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,382.13 : 267,918.75 = 267,918.75 : x
  2. Step 2: Convert to fraction form
    177,382.13/267,918.75 = 267,918.75/x
  3. Step 3: Cross multiply
    177,382.13x = 267,918.75 × 267,918.75
  4. Step 4: Simplify right side
    177,382.13x = 71,780,456,601.56
  5. Step 5: Solve for x
    x = 71,780,456,601.56/177,382.13
  6. Step 6: Final answer
    x = 404,665.67

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.