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Finding the Third Proportional to 166.92 and 349.03

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Solution

The third proportional to 166.92 and 349.03 is: 729.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.92 : 349.03 = 349.03 : x
  2. Step 2: Convert to fraction form
    166.92/349.03 = 349.03/x
  3. Step 3: Cross multiply
    166.92x = 349.03 × 349.03
  4. Step 4: Simplify right side
    166.92x = 121,822.81
  5. Step 5: Solve for x
    x = 121,822.81/166.92
  6. Step 6: Final answer
    x = 729.82

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.