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Finding the Third Proportional to 168.01 and 365.03

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Solution

The third proportional to 168.01 and 365.03 is: 793.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.01 : 365.03 = 365.03 : x
  2. Step 2: Convert to fraction form
    168.01/365.03 = 365.03/x
  3. Step 3: Cross multiply
    168.01x = 365.03 × 365.03
  4. Step 4: Simplify right side
    168.01x = 133,249.77
  5. Step 5: Solve for x
    x = 133,249.77/168.01
  6. Step 6: Final answer
    x = 793.10

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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.