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Finding the Third Proportional to 742.55 and 1,167.91

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Solution

The third proportional to 742.55 and 1,167.91 is: 1,836.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.55 : 1,167.91 = 1,167.91 : x
  2. Step 2: Convert to fraction form
    742.55/1,167.91 = 1,167.91/x
  3. Step 3: Cross multiply
    742.55x = 1,167.91 × 1,167.91
  4. Step 4: Simplify right side
    742.55x = 1,364,023.26
  5. Step 5: Solve for x
    x = 1,364,023.26/742.55
  6. Step 6: Final answer
    x = 1,836.95

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.