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Finding the Third Proportional to 251,831 and 380,172

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Solution

The third proportional to 251,831 and 380,172 is: 573,919.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,831 : 380,172 = 380,172 : x
  2. Step 2: Convert to fraction form
    251,831/380,172 = 380,172/x
  3. Step 3: Cross multiply
    251,831x = 380,172 × 380,172
  4. Step 4: Simplify right side
    251,831x = 144,530,749,584
  5. Step 5: Solve for x
    x = 144,530,749,584/251,831
  6. Step 6: Final answer
    x = 573,919.61

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.