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Finding the Third Proportional to 166.41 and 234.09

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Solution

The third proportional to 166.41 and 234.09 is: 329.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.41 : 234.09 = 234.09 : x
  2. Step 2: Convert to fraction form
    166.41/234.09 = 234.09/x
  3. Step 3: Cross multiply
    166.41x = 234.09 × 234.09
  4. Step 4: Simplify right side
    166.41x = 54,799.88
  5. Step 5: Solve for x
    x = 54,799.88/166.41
  6. Step 6: Final answer
    x = 329.31

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.