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Finding the Third Proportional to 337.08 and 736.17

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Solution

The third proportional to 337.08 and 736.17 is: 1,607.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.08 : 736.17 = 736.17 : x
  2. Step 2: Convert to fraction form
    337.08/736.17 = 736.17/x
  3. Step 3: Cross multiply
    337.08x = 736.17 × 736.17
  4. Step 4: Simplify right side
    337.08x = 541,949.03
  5. Step 5: Solve for x
    x = 541,949.03/337.08
  6. Step 6: Final answer
    x = 1,607.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.