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Finding the Third Proportional to 201,713 and 274,081

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Solution

The third proportional to 201,713 and 274,081 is: 372,412.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,713 : 274,081 = 274,081 : x
  2. Step 2: Convert to fraction form
    201,713/274,081 = 274,081/x
  3. Step 3: Cross multiply
    201,713x = 274,081 × 274,081
  4. Step 4: Simplify right side
    201,713x = 75,120,394,561
  5. Step 5: Solve for x
    x = 75,120,394,561/201,713
  6. Step 6: Final answer
    x = 372,412.26

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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.