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Finding the Third Proportional to 159,845 and 240,174.75

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Solution

The third proportional to 159,845 and 240,174.75 is: 360,874.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,845 : 240,174.75 = 240,174.75 : x
  2. Step 2: Convert to fraction form
    159,845/240,174.75 = 240,174.75/x
  3. Step 3: Cross multiply
    159,845x = 240,174.75 × 240,174.75
  4. Step 4: Simplify right side
    159,845x = 57,683,910,537.56
  5. Step 5: Solve for x
    x = 57,683,910,537.56/159,845
  6. Step 6: Final answer
    x = 360,874.04

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Why These Related Problems?

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