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Finding the Third Proportional to 135,320 and 192,334

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Solution

The third proportional to 135,320 and 192,334 is: 273,369.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,320 : 192,334 = 192,334 : x
  2. Step 2: Convert to fraction form
    135,320/192,334 = 192,334/x
  3. Step 3: Cross multiply
    135,320x = 192,334 × 192,334
  4. Step 4: Simplify right side
    135,320x = 36,992,367,556
  5. Step 5: Solve for x
    x = 36,992,367,556/135,320
  6. Step 6: Final answer
    x = 273,369.55

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.