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Finding the Third Proportional to 192,078 and 276,697.69

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Solution

The third proportional to 192,078 and 276,697.69 is: 398,596.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,078 : 276,697.69 = 276,697.69 : x
  2. Step 2: Convert to fraction form
    192,078/276,697.69 = 276,697.69/x
  3. Step 3: Cross multiply
    192,078x = 276,697.69 × 276,697.69
  4. Step 4: Simplify right side
    192,078x = 76,561,610,267.85
  5. Step 5: Solve for x
    x = 76,561,610,267.85/192,078
  6. Step 6: Final answer
    x = 398,596.46

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