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Finding the Third Proportional to 168.09 and 363.19

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Solution

The third proportional to 168.09 and 363.19 is: 784.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.09 : 363.19 = 363.19 : x
  2. Step 2: Convert to fraction form
    168.09/363.19 = 363.19/x
  3. Step 3: Cross multiply
    168.09x = 363.19 × 363.19
  4. Step 4: Simplify right side
    168.09x = 131,905.16
  5. Step 5: Solve for x
    x = 131,905.16/168.09
  6. Step 6: Final answer
    x = 784.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.