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Finding the Third Proportional to 201,735.50 and 303,474

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Solution

The third proportional to 201,735.50 and 303,474 is: 456,520.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,735.50 : 303,474 = 303,474 : x
  2. Step 2: Convert to fraction form
    201,735.50/303,474 = 303,474/x
  3. Step 3: Cross multiply
    201,735.50x = 303,474 × 303,474
  4. Step 4: Simplify right side
    201,735.50x = 92,096,468,676
  5. Step 5: Solve for x
    x = 92,096,468,676/201,735.50
  6. Step 6: Final answer
    x = 456,520.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.