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Finding the Third Proportional to 135,324 and 192,340

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Solution

The third proportional to 135,324 and 192,340 is: 273,378.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,324 : 192,340 = 192,340 : x
  2. Step 2: Convert to fraction form
    135,324/192,340 = 192,340/x
  3. Step 3: Cross multiply
    135,324x = 192,340 × 192,340
  4. Step 4: Simplify right side
    135,324x = 36,994,675,600
  5. Step 5: Solve for x
    x = 36,994,675,600/135,324
  6. Step 6: Final answer
    x = 273,378.53

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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.