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Finding the Third Proportional to 168.13 and 365.13

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Solution

The third proportional to 168.13 and 365.13 is: 792.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.13 : 365.13 = 365.13 : x
  2. Step 2: Convert to fraction form
    168.13/365.13 = 365.13/x
  3. Step 3: Cross multiply
    168.13x = 365.13 × 365.13
  4. Step 4: Simplify right side
    168.13x = 133,316.27
  5. Step 5: Solve for x
    x = 133,316.27/168.13
  6. Step 6: Final answer
    x = 792.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.