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Finding the Third Proportional to 161.25 and 217.31

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Solution

The third proportional to 161.25 and 217.31 is: 292.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    161.25 : 217.31 = 217.31 : x
  2. Step 2: Convert to fraction form
    161.25/217.31 = 217.31/x
  3. Step 3: Cross multiply
    161.25x = 217.31 × 217.31
  4. Step 4: Simplify right side
    161.25x = 47,224.72
  5. Step 5: Solve for x
    x = 47,224.72/161.25
  6. Step 6: Final answer
    x = 292.87

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.