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Finding the Third Proportional to 135,306 and 192,318

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Solution

The third proportional to 135,306 and 192,318 is: 273,352.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,306 : 192,318 = 192,318 : x
  2. Step 2: Convert to fraction form
    135,306/192,318 = 192,318/x
  3. Step 3: Cross multiply
    135,306x = 192,318 × 192,318
  4. Step 4: Simplify right side
    135,306x = 36,986,213,124
  5. Step 5: Solve for x
    x = 36,986,213,124/135,306
  6. Step 6: Final answer
    x = 273,352.35

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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.