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Finding the Third Proportional to 169.12 and 366.87

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Solution

The third proportional to 169.12 and 366.87 is: 795.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.12 : 366.87 = 366.87 : x
  2. Step 2: Convert to fraction form
    169.12/366.87 = 366.87/x
  3. Step 3: Cross multiply
    169.12x = 366.87 × 366.87
  4. Step 4: Simplify right side
    169.12x = 134,595.83
  5. Step 5: Solve for x
    x = 134,595.83/169.12
  6. Step 6: Final answer
    x = 795.86

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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.