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Finding the Third Proportional to 166.03 and 337.03

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Solution

The third proportional to 166.03 and 337.03 is: 684.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.03 : 337.03 = 337.03 : x
  2. Step 2: Convert to fraction form
    166.03/337.03 = 337.03/x
  3. Step 3: Cross multiply
    166.03x = 337.03 × 337.03
  4. Step 4: Simplify right side
    166.03x = 113,590.06
  5. Step 5: Solve for x
    x = 113,590.06/166.03
  6. Step 6: Final answer
    x = 684.15

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.