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Finding the Third Proportional to 217.75 and 326.75

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Solution

The third proportional to 217.75 and 326.75 is: 490.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.75 : 326.75 = 326.75 : x
  2. Step 2: Convert to fraction form
    217.75/326.75 = 326.75/x
  3. Step 3: Cross multiply
    217.75x = 326.75 × 326.75
  4. Step 4: Simplify right side
    217.75x = 106,765.56
  5. Step 5: Solve for x
    x = 106,765.56/217.75
  6. Step 6: Final answer
    x = 490.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.