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Finding the Third Proportional to 192,048 and 276,651.75

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Solution

The third proportional to 192,048 and 276,651.75 is: 398,526.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,048 : 276,651.75 = 276,651.75 : x
  2. Step 2: Convert to fraction form
    192,048/276,651.75 = 276,651.75/x
  3. Step 3: Cross multiply
    192,048x = 276,651.75 × 276,651.75
  4. Step 4: Simplify right side
    192,048x = 76,536,190,778.06
  5. Step 5: Solve for x
    x = 76,536,190,778.06/192,048
  6. Step 6: Final answer
    x = 398,526.36

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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.