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Finding the Third Proportional to 192,048.75 and 276,634.13

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Solution

The third proportional to 192,048.75 and 276,634.13 is: 398,474.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,048.75 : 276,634.13 = 276,634.13 : x
  2. Step 2: Convert to fraction form
    192,048.75/276,634.13 = 276,634.13/x
  3. Step 3: Cross multiply
    192,048.75x = 276,634.13 × 276,634.13
  4. Step 4: Simplify right side
    192,048.75x = 76,526,439,114.52
  5. Step 5: Solve for x
    x = 76,526,439,114.52/192,048.75
  6. Step 6: Final answer
    x = 398,474.03

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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.