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Finding the Third Proportional to 166.13 and 189.19

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Solution

The third proportional to 166.13 and 189.19 is: 215.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.13 : 189.19 = 189.19 : x
  2. Step 2: Convert to fraction form
    166.13/189.19 = 189.19/x
  3. Step 3: Cross multiply
    166.13x = 189.19 × 189.19
  4. Step 4: Simplify right side
    166.13x = 35,791.91
  5. Step 5: Solve for x
    x = 35,791.91/166.13
  6. Step 6: Final answer
    x = 215.45

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.