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Finding the Third Proportional to 192,048 and 276,651

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Solution

The third proportional to 192,048 and 276,651 is: 398,524.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,048 : 276,651 = 276,651 : x
  2. Step 2: Convert to fraction form
    192,048/276,651 = 276,651/x
  3. Step 3: Cross multiply
    192,048x = 276,651 × 276,651
  4. Step 4: Simplify right side
    192,048x = 76,535,775,801
  5. Step 5: Solve for x
    x = 76,535,775,801/192,048
  6. Step 6: Final answer
    x = 398,524.20

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.