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Finding the Third Proportional to 192,956 and 417,112

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Solution

The third proportional to 192,956 and 417,112 is: 901,668.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,956 : 417,112 = 417,112 : x
  2. Step 2: Convert to fraction form
    192,956/417,112 = 417,112/x
  3. Step 3: Cross multiply
    192,956x = 417,112 × 417,112
  4. Step 4: Simplify right side
    192,956x = 173,982,420,544
  5. Step 5: Solve for x
    x = 173,982,420,544/192,956
  6. Step 6: Final answer
    x = 901,668.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.