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Finding the Third Proportional to 203,615.88 and 267,758.75

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Solution

The third proportional to 203,615.88 and 267,758.75 is: 352,107.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,615.88 : 267,758.75 = 267,758.75 : x
  2. Step 2: Convert to fraction form
    203,615.88/267,758.75 = 267,758.75/x
  3. Step 3: Cross multiply
    203,615.88x = 267,758.75 × 267,758.75
  4. Step 4: Simplify right side
    203,615.88x = 71,694,748,201.56
  5. Step 5: Solve for x
    x = 71,694,748,201.56/203,615.88
  6. Step 6: Final answer
    x = 352,107.85

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.