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Finding the Third Proportional to 250,007 and 381,162

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Solution

The third proportional to 250,007 and 381,162 is: 581,121.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,007 : 381,162 = 381,162 : x
  2. Step 2: Convert to fraction form
    250,007/381,162 = 381,162/x
  3. Step 3: Cross multiply
    250,007x = 381,162 × 381,162
  4. Step 4: Simplify right side
    250,007x = 145,284,470,244
  5. Step 5: Solve for x
    x = 145,284,470,244/250,007
  6. Step 6: Final answer
    x = 581,121.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.