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Finding the Third Proportional to 159,451 and 246,879

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Solution

The third proportional to 159,451 and 246,879 is: 382,244.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,451 : 246,879 = 246,879 : x
  2. Step 2: Convert to fraction form
    159,451/246,879 = 246,879/x
  3. Step 3: Cross multiply
    159,451x = 246,879 × 246,879
  4. Step 4: Simplify right side
    159,451x = 60,949,240,641
  5. Step 5: Solve for x
    x = 60,949,240,641/159,451
  6. Step 6: Final answer
    x = 382,244.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.