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Finding the Third Proportional to 150.38 and 166.06

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Solution

The third proportional to 150.38 and 166.06 is: 183.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.38 : 166.06 = 166.06 : x
  2. Step 2: Convert to fraction form
    150.38/166.06 = 166.06/x
  3. Step 3: Cross multiply
    150.38x = 166.06 × 166.06
  4. Step 4: Simplify right side
    150.38x = 27,576.75
  5. Step 5: Solve for x
    x = 27,576.75/150.38
  6. Step 6: Final answer
    x = 183.39

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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.