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Finding the Third Proportional to 127,193 and 276,238

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Solution

The third proportional to 127,193 and 276,238 is: 599,934.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,193 : 276,238 = 276,238 : x
  2. Step 2: Convert to fraction form
    127,193/276,238 = 276,238/x
  3. Step 3: Cross multiply
    127,193x = 276,238 × 276,238
  4. Step 4: Simplify right side
    127,193x = 76,307,432,644
  5. Step 5: Solve for x
    x = 76,307,432,644/127,193
  6. Step 6: Final answer
    x = 599,934.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.