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Finding the Third Proportional to 169.13 and 186.56

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Solution

The third proportional to 169.13 and 186.56 is: 205.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.13 : 186.56 = 186.56 : x
  2. Step 2: Convert to fraction form
    169.13/186.56 = 186.56/x
  3. Step 3: Cross multiply
    169.13x = 186.56 × 186.56
  4. Step 4: Simplify right side
    169.13x = 34,805.57
  5. Step 5: Solve for x
    x = 34,805.57/169.13
  6. Step 6: Final answer
    x = 205.80

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.