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Finding the Third Proportional to 337.92 and 767.18

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Solution

The third proportional to 337.92 and 767.18 is: 1,741.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.92 : 767.18 = 767.18 : x
  2. Step 2: Convert to fraction form
    337.92/767.18 = 767.18/x
  3. Step 3: Cross multiply
    337.92x = 767.18 × 767.18
  4. Step 4: Simplify right side
    337.92x = 588,564.67
  5. Step 5: Solve for x
    x = 588,564.67/337.92
  6. Step 6: Final answer
    x = 1,741.72

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.