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Finding the Third Proportional to 176,104.13 and 267,522.75

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Solution

The third proportional to 176,104.13 and 267,522.75 is: 406,398.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,104.13 : 267,522.75 = 267,522.75 : x
  2. Step 2: Convert to fraction form
    176,104.13/267,522.75 = 267,522.75/x
  3. Step 3: Cross multiply
    176,104.13x = 267,522.75 × 267,522.75
  4. Step 4: Simplify right side
    176,104.13x = 71,568,421,767.56
  5. Step 5: Solve for x
    x = 71,568,421,767.56/176,104.13
  6. Step 6: Final answer
    x = 406,398.33

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.