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Finding the Third Proportional to 203,238 and 271,512

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Solution

The third proportional to 203,238 and 271,512 is: 362,721.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,238 : 271,512 = 271,512 : x
  2. Step 2: Convert to fraction form
    203,238/271,512 = 271,512/x
  3. Step 3: Cross multiply
    203,238x = 271,512 × 271,512
  4. Step 4: Simplify right side
    203,238x = 73,718,766,144
  5. Step 5: Solve for x
    x = 73,718,766,144/203,238
  6. Step 6: Final answer
    x = 362,721.37

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.