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Finding the Third Proportional to 150.56 and 167.44

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Solution

The third proportional to 150.56 and 167.44 is: 186.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.56 : 167.44 = 167.44 : x
  2. Step 2: Convert to fraction form
    150.56/167.44 = 167.44/x
  3. Step 3: Cross multiply
    150.56x = 167.44 × 167.44
  4. Step 4: Simplify right side
    150.56x = 28,035.32
  5. Step 5: Solve for x
    x = 28,035.32/150.56
  6. Step 6: Final answer
    x = 186.20

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