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Finding the Third Proportional to 189,193 and 283,268

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Solution

The third proportional to 189,193 and 283,268 is: 424,121.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,193 : 283,268 = 283,268 : x
  2. Step 2: Convert to fraction form
    189,193/283,268 = 283,268/x
  3. Step 3: Cross multiply
    189,193x = 283,268 × 283,268
  4. Step 4: Simplify right side
    189,193x = 80,240,759,824
  5. Step 5: Solve for x
    x = 80,240,759,824/189,193
  6. Step 6: Final answer
    x = 424,121.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.