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Finding the Third Proportional to 168.33 and 369.67

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Solution

The third proportional to 168.33 and 369.67 is: 811.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.33 : 369.67 = 369.67 : x
  2. Step 2: Convert to fraction form
    168.33/369.67 = 369.67/x
  3. Step 3: Cross multiply
    168.33x = 369.67 × 369.67
  4. Step 4: Simplify right side
    168.33x = 136,654.41
  5. Step 5: Solve for x
    x = 136,654.41/168.33
  6. Step 6: Final answer
    x = 811.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.