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Finding the Third Proportional to 192,069 and 276,663

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Solution

The third proportional to 192,069 and 276,663 is: 398,515.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,069 : 276,663 = 276,663 : x
  2. Step 2: Convert to fraction form
    192,069/276,663 = 276,663/x
  3. Step 3: Cross multiply
    192,069x = 276,663 × 276,663
  4. Step 4: Simplify right side
    192,069x = 76,542,415,569
  5. Step 5: Solve for x
    x = 76,542,415,569/192,069
  6. Step 6: Final answer
    x = 398,515.20

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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.