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Finding the Third Proportional to 203,601.75 and 267,737.25

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Solution

The third proportional to 203,601.75 and 267,737.25 is: 352,075.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,601.75 : 267,737.25 = 267,737.25 : x
  2. Step 2: Convert to fraction form
    203,601.75/267,737.25 = 267,737.25/x
  3. Step 3: Cross multiply
    203,601.75x = 267,737.25 × 267,737.25
  4. Step 4: Simplify right side
    203,601.75x = 71,683,235,037.56
  5. Step 5: Solve for x
    x = 71,683,235,037.56/203,601.75
  6. Step 6: Final answer
    x = 352,075.73

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.