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Finding the Third Proportional to 192,491 and 397,187

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Solution

The third proportional to 192,491 and 397,187 is: 819,557.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,491 : 397,187 = 397,187 : x
  2. Step 2: Convert to fraction form
    192,491/397,187 = 397,187/x
  3. Step 3: Cross multiply
    192,491x = 397,187 × 397,187
  4. Step 4: Simplify right side
    192,491x = 157,757,512,969
  5. Step 5: Solve for x
    x = 157,757,512,969/192,491
  6. Step 6: Final answer
    x = 819,557.86

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.