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Finding the Third Proportional to 201,831 and 274,233

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Solution

The third proportional to 201,831 and 274,233 is: 372,607.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,831 : 274,233 = 274,233 : x
  2. Step 2: Convert to fraction form
    201,831/274,233 = 274,233/x
  3. Step 3: Cross multiply
    201,831x = 274,233 × 274,233
  4. Step 4: Simplify right side
    201,831x = 75,203,738,289
  5. Step 5: Solve for x
    x = 75,203,738,289/201,831
  6. Step 6: Final answer
    x = 372,607.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.