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Finding the Third Proportional to 192,633 and 255,670

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Solution

The third proportional to 192,633 and 255,670 is: 339,335.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,633 : 255,670 = 255,670 : x
  2. Step 2: Convert to fraction form
    192,633/255,670 = 255,670/x
  3. Step 3: Cross multiply
    192,633x = 255,670 × 255,670
  4. Step 4: Simplify right side
    192,633x = 65,367,148,900
  5. Step 5: Solve for x
    x = 65,367,148,900/192,633
  6. Step 6: Final answer
    x = 339,335.15

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.