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Finding the Third Proportional to 150.96 and 166.99

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Solution

The third proportional to 150.96 and 166.99 is: 184.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.96 : 166.99 = 166.99 : x
  2. Step 2: Convert to fraction form
    150.96/166.99 = 166.99/x
  3. Step 3: Cross multiply
    150.96x = 166.99 × 166.99
  4. Step 4: Simplify right side
    150.96x = 27,886.39
  5. Step 5: Solve for x
    x = 27,886.39/150.96
  6. Step 6: Final answer
    x = 184.73

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.