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Finding the Third Proportional to 166.08 and 338.91

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Solution

The third proportional to 166.08 and 338.91 is: 691.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.08 : 338.91 = 338.91 : x
  2. Step 2: Convert to fraction form
    166.08/338.91 = 338.91/x
  3. Step 3: Cross multiply
    166.08x = 338.91 × 338.91
  4. Step 4: Simplify right side
    166.08x = 114,857.45
  5. Step 5: Solve for x
    x = 114,857.45/166.08
  6. Step 6: Final answer
    x = 691.59

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.