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Finding the Third Proportional to 159,847 and 240,177

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Solution

The third proportional to 159,847 and 240,177 is: 360,876.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,847 : 240,177 = 240,177 : x
  2. Step 2: Convert to fraction form
    159,847/240,177 = 240,177/x
  3. Step 3: Cross multiply
    159,847x = 240,177 × 240,177
  4. Step 4: Simplify right side
    159,847x = 57,684,991,329
  5. Step 5: Solve for x
    x = 57,684,991,329/159,847
  6. Step 6: Final answer
    x = 360,876.28

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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.