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Finding the Third Proportional to 192,091.50 and 276,716.25

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Solution

The third proportional to 192,091.50 and 276,716.25 is: 398,621.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,091.50 : 276,716.25 = 276,716.25 : x
  2. Step 2: Convert to fraction form
    192,091.50/276,716.25 = 276,716.25/x
  3. Step 3: Cross multiply
    192,091.50x = 276,716.25 × 276,716.25
  4. Step 4: Simplify right side
    192,091.50x = 76,571,883,014.06
  5. Step 5: Solve for x
    x = 76,571,883,014.06/192,091.50
  6. Step 6: Final answer
    x = 398,621.92

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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.