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Finding the Third Proportional to 164.67 and 247.41

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Solution

The third proportional to 164.67 and 247.41 is: 371.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.67 : 247.41 = 247.41 : x
  2. Step 2: Convert to fraction form
    164.67/247.41 = 247.41/x
  3. Step 3: Cross multiply
    164.67x = 247.41 × 247.41
  4. Step 4: Simplify right side
    164.67x = 61,209.85
  5. Step 5: Solve for x
    x = 61,209.85/164.67
  6. Step 6: Final answer
    x = 371.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.