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Finding the Third Proportional to 203,192 and 467,309

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Solution

The third proportional to 203,192 and 467,309 is: 1,074,735.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,192 : 467,309 = 467,309 : x
  2. Step 2: Convert to fraction form
    203,192/467,309 = 467,309/x
  3. Step 3: Cross multiply
    203,192x = 467,309 × 467,309
  4. Step 4: Simplify right side
    203,192x = 218,377,701,481
  5. Step 5: Solve for x
    x = 218,377,701,481/203,192
  6. Step 6: Final answer
    x = 1,074,735.73

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.