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Finding the Third Proportional to 192,759 and 417,695

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Solution

The third proportional to 192,759 and 417,695 is: 905,115.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,759 : 417,695 = 417,695 : x
  2. Step 2: Convert to fraction form
    192,759/417,695 = 417,695/x
  3. Step 3: Cross multiply
    192,759x = 417,695 × 417,695
  4. Step 4: Simplify right side
    192,759x = 174,469,113,025
  5. Step 5: Solve for x
    x = 174,469,113,025/192,759
  6. Step 6: Final answer
    x = 905,115.26

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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.