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Finding the Third Proportional to 337.25 and 519.13

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Solution

The third proportional to 337.25 and 519.13 is: 799.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.25 : 519.13 = 519.13 : x
  2. Step 2: Convert to fraction form
    337.25/519.13 = 519.13/x
  3. Step 3: Cross multiply
    337.25x = 519.13 × 519.13
  4. Step 4: Simplify right side
    337.25x = 269,490.77
  5. Step 5: Solve for x
    x = 269,490.77/337.25
  6. Step 6: Final answer
    x = 799.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.