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Finding the Third Proportional to 192,250 and 412,244

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Solution

The third proportional to 192,250 and 412,244 is: 883,979.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,250 : 412,244 = 412,244 : x
  2. Step 2: Convert to fraction form
    192,250/412,244 = 412,244/x
  3. Step 3: Cross multiply
    192,250x = 412,244 × 412,244
  4. Step 4: Simplify right side
    192,250x = 169,945,115,536
  5. Step 5: Solve for x
    x = 169,945,115,536/192,250
  6. Step 6: Final answer
    x = 883,979.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.