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Finding the Third Proportional to 349.31 and 506.25

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Solution

The third proportional to 349.31 and 506.25 is: 733.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.31 : 506.25 = 506.25 : x
  2. Step 2: Convert to fraction form
    349.31/506.25 = 506.25/x
  3. Step 3: Cross multiply
    349.31x = 506.25 × 506.25
  4. Step 4: Simplify right side
    349.31x = 256,289.06
  5. Step 5: Solve for x
    x = 256,289.06/349.31
  6. Step 6: Final answer
    x = 733.70

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.