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Finding the Third Proportional to 166.32 and 337.45

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Solution

The third proportional to 166.32 and 337.45 is: 684.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.32 : 337.45 = 337.45 : x
  2. Step 2: Convert to fraction form
    166.32/337.45 = 337.45/x
  3. Step 3: Cross multiply
    166.32x = 337.45 × 337.45
  4. Step 4: Simplify right side
    166.32x = 113,870.66
  5. Step 5: Solve for x
    x = 113,870.66/166.32
  6. Step 6: Final answer
    x = 684.64

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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.