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Finding the Third Proportional to 201,834.28 and 274,229.30

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Solution

The third proportional to 201,834.28 and 274,229.30 is: 372,591.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,834.28 : 274,229.30 = 274,229.30 : x
  2. Step 2: Convert to fraction form
    201,834.28/274,229.30 = 274,229.30/x
  3. Step 3: Cross multiply
    201,834.28x = 274,229.30 × 274,229.30
  4. Step 4: Simplify right side
    201,834.28x = 75,201,707,264.56
  5. Step 5: Solve for x
    x = 75,201,707,264.56/201,834.28
  6. Step 6: Final answer
    x = 372,591.35

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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.