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Finding the Third Proportional to 171 and 234

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Solution

The third proportional to 171 and 234 is: 320.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    171 : 234 = 234 : x
  2. Step 2: Convert to fraction form
    171/234 = 234/x
  3. Step 3: Cross multiply
    171x = 234 × 234
  4. Step 4: Simplify right side
    171x = 54,756
  5. Step 5: Solve for x
    x = 54,756/171
  6. Step 6: Final answer
    x = 320.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.