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Finding the Third Proportional to 343.31 and 517.94

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Solution

The third proportional to 343.31 and 517.94 is: 781.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.31 : 517.94 = 517.94 : x
  2. Step 2: Convert to fraction form
    343.31/517.94 = 517.94/x
  3. Step 3: Cross multiply
    343.31x = 517.94 × 517.94
  4. Step 4: Simplify right side
    343.31x = 268,259.25
  5. Step 5: Solve for x
    x = 268,259.25/343.31
  6. Step 6: Final answer
    x = 781.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.