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Finding the Third Proportional to 192,492 and 397,188

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Solution

The third proportional to 192,492 and 397,188 is: 819,557.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,492 : 397,188 = 397,188 : x
  2. Step 2: Convert to fraction form
    192,492/397,188 = 397,188/x
  3. Step 3: Cross multiply
    192,492x = 397,188 × 397,188
  4. Step 4: Simplify right side
    192,492x = 157,758,307,344
  5. Step 5: Solve for x
    x = 157,758,307,344/192,492
  6. Step 6: Final answer
    x = 819,557.73

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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.