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Finding the Third Proportional to 192,462 and 397,194

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Solution

The third proportional to 192,462 and 397,194 is: 819,710.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,462 : 397,194 = 397,194 : x
  2. Step 2: Convert to fraction form
    192,462/397,194 = 397,194/x
  3. Step 3: Cross multiply
    192,462x = 397,194 × 397,194
  4. Step 4: Simplify right side
    192,462x = 157,763,073,636
  5. Step 5: Solve for x
    x = 157,763,073,636/192,462
  6. Step 6: Final answer
    x = 819,710.25

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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.