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Finding the Third Proportional to 195,925 and 400,150

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Solution

The third proportional to 195,925 and 400,150 is: 817,251.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,925 : 400,150 = 400,150 : x
  2. Step 2: Convert to fraction form
    195,925/400,150 = 400,150/x
  3. Step 3: Cross multiply
    195,925x = 400,150 × 400,150
  4. Step 4: Simplify right side
    195,925x = 160,120,022,500
  5. Step 5: Solve for x
    x = 160,120,022,500/195,925
  6. Step 6: Final answer
    x = 817,251.61

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.