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Finding the Third Proportional to 217.31 and 458.91

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Solution

The third proportional to 217.31 and 458.91 is: 969.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.31 : 458.91 = 458.91 : x
  2. Step 2: Convert to fraction form
    217.31/458.91 = 458.91/x
  3. Step 3: Cross multiply
    217.31x = 458.91 × 458.91
  4. Step 4: Simplify right side
    217.31x = 210,594.95
  5. Step 5: Solve for x
    x = 210,594.95/217.31
  6. Step 6: Final answer
    x = 969.09

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.