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Finding the Third Proportional to 115,619 and 252,193

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Solution

The third proportional to 115,619 and 252,193 is: 550,093.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,619 : 252,193 = 252,193 : x
  2. Step 2: Convert to fraction form
    115,619/252,193 = 252,193/x
  3. Step 3: Cross multiply
    115,619x = 252,193 × 252,193
  4. Step 4: Simplify right side
    115,619x = 63,601,309,249
  5. Step 5: Solve for x
    x = 63,601,309,249/115,619
  6. Step 6: Final answer
    x = 550,093.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.