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Finding the Third Proportional to 337.15 and 736.80

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Solution

The third proportional to 337.15 and 736.80 is: 1,610.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.15 : 736.80 = 736.80 : x
  2. Step 2: Convert to fraction form
    337.15/736.80 = 736.80/x
  3. Step 3: Cross multiply
    337.15x = 736.80 × 736.80
  4. Step 4: Simplify right side
    337.15x = 542,881.15
  5. Step 5: Solve for x
    x = 542,881.15/337.15
  6. Step 6: Final answer
    x = 1,610.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.