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Finding the Third Proportional to 217.31 and 321.94

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Solution

The third proportional to 217.31 and 321.94 is: 476.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.31 : 321.94 = 321.94 : x
  2. Step 2: Convert to fraction form
    217.31/321.94 = 321.94/x
  3. Step 3: Cross multiply
    217.31x = 321.94 × 321.94
  4. Step 4: Simplify right side
    217.31x = 103,643.75
  5. Step 5: Solve for x
    x = 103,643.75/217.31
  6. Step 6: Final answer
    x = 476.93

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.