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Finding the Third Proportional to 166.36 and 231.47

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Solution

The third proportional to 166.36 and 231.47 is: 322.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.36 : 231.47 = 231.47 : x
  2. Step 2: Convert to fraction form
    166.36/231.47 = 231.47/x
  3. Step 3: Cross multiply
    166.36x = 231.47 × 231.47
  4. Step 4: Simplify right side
    166.36x = 53,577.78
  5. Step 5: Solve for x
    x = 53,577.78/166.36
  6. Step 6: Final answer
    x = 322.06

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.