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Finding the Third Proportional to 159,847 and 240,178

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Solution

The third proportional to 159,847 and 240,178 is: 360,879.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,847 : 240,178 = 240,178 : x
  2. Step 2: Convert to fraction form
    159,847/240,178 = 240,178/x
  3. Step 3: Cross multiply
    159,847x = 240,178 × 240,178
  4. Step 4: Simplify right side
    159,847x = 57,685,471,684
  5. Step 5: Solve for x
    x = 57,685,471,684/159,847
  6. Step 6: Final answer
    x = 360,879.29

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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.