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Finding the Third Proportional to 201,732 and 274,110

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Solution

The third proportional to 201,732 and 274,110 is: 372,455.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,732 : 274,110 = 274,110 : x
  2. Step 2: Convert to fraction form
    201,732/274,110 = 274,110/x
  3. Step 3: Cross multiply
    201,732x = 274,110 × 274,110
  4. Step 4: Simplify right side
    201,732x = 75,136,292,100
  5. Step 5: Solve for x
    x = 75,136,292,100/201,732
  6. Step 6: Final answer
    x = 372,455.99

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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.