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Finding the Third Proportional to 192,785 and 417,751

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Solution

The third proportional to 192,785 and 417,751 is: 905,235.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,785 : 417,751 = 417,751 : x
  2. Step 2: Convert to fraction form
    192,785/417,751 = 417,751/x
  3. Step 3: Cross multiply
    192,785x = 417,751 × 417,751
  4. Step 4: Simplify right side
    192,785x = 174,515,898,001
  5. Step 5: Solve for x
    x = 174,515,898,001/192,785
  6. Step 6: Final answer
    x = 905,235.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.