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Finding the Third Proportional to 201,849 and 274,251

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Solution

The third proportional to 201,849 and 274,251 is: 372,623.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,849 : 274,251 = 274,251 : x
  2. Step 2: Convert to fraction form
    201,849/274,251 = 274,251/x
  3. Step 3: Cross multiply
    201,849x = 274,251 × 274,251
  4. Step 4: Simplify right side
    201,849x = 75,213,611,001
  5. Step 5: Solve for x
    x = 75,213,611,001/201,849
  6. Step 6: Final answer
    x = 372,623.15

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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.