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Finding the Third Proportional to 201,732 and 274,109

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Solution

The third proportional to 201,732 and 274,109 is: 372,453.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,732 : 274,109 = 274,109 : x
  2. Step 2: Convert to fraction form
    201,732/274,109 = 274,109/x
  3. Step 3: Cross multiply
    201,732x = 274,109 × 274,109
  4. Step 4: Simplify right side
    201,732x = 75,135,743,881
  5. Step 5: Solve for x
    x = 75,135,743,881/201,732
  6. Step 6: Final answer
    x = 372,453.27

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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.