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Finding the Third Proportional to 165.94 and 217.97

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Solution

The third proportional to 165.94 and 217.97 is: 286.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.94 : 217.97 = 217.97 : x
  2. Step 2: Convert to fraction form
    165.94/217.97 = 217.97/x
  3. Step 3: Cross multiply
    165.94x = 217.97 × 217.97
  4. Step 4: Simplify right side
    165.94x = 47,510.38
  5. Step 5: Solve for x
    x = 47,510.38/165.94
  6. Step 6: Final answer
    x = 286.31

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.