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Finding the Third Proportional to 146,879.44 and 198,174.94

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Solution

The third proportional to 146,879.44 and 198,174.94 is: 267,384.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,879.44 : 198,174.94 = 198,174.94 : x
  2. Step 2: Convert to fraction form
    146,879.44/198,174.94 = 198,174.94/x
  3. Step 3: Cross multiply
    146,879.44x = 198,174.94 × 198,174.94
  4. Step 4: Simplify right side
    146,879.44x = 39,273,305,853.13
  5. Step 5: Solve for x
    x = 39,273,305,853.13/146,879.44
  6. Step 6: Final answer
    x = 267,384.64

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.