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Finding the Third Proportional to 168.05 and 360.09

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Solution

The third proportional to 168.05 and 360.09 is: 771.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.05 : 360.09 = 360.09 : x
  2. Step 2: Convert to fraction form
    168.05/360.09 = 360.09/x
  3. Step 3: Cross multiply
    168.05x = 360.09 × 360.09
  4. Step 4: Simplify right side
    168.05x = 129,667.51
  5. Step 5: Solve for x
    x = 129,667.51/168.05
  6. Step 6: Final answer
    x = 771.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.