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Finding the Third Proportional to 150.47 and 246.73

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Solution

The third proportional to 150.47 and 246.73 is: 404.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.47 : 246.73 = 246.73 : x
  2. Step 2: Convert to fraction form
    150.47/246.73 = 246.73/x
  3. Step 3: Cross multiply
    150.47x = 246.73 × 246.73
  4. Step 4: Simplify right side
    150.47x = 60,874.00
  5. Step 5: Solve for x
    x = 60,874.00/150.47
  6. Step 6: Final answer
    x = 404.56

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.