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Finding the Third Proportional to 200,972.25 and 311,296.50

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Solution

The third proportional to 200,972.25 and 311,296.50 is: 482,183.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,972.25 : 311,296.50 = 311,296.50 : x
  2. Step 2: Convert to fraction form
    200,972.25/311,296.50 = 311,296.50/x
  3. Step 3: Cross multiply
    200,972.25x = 311,296.50 × 311,296.50
  4. Step 4: Simplify right side
    200,972.25x = 96,905,510,912.25
  5. Step 5: Solve for x
    x = 96,905,510,912.25/200,972.25
  6. Step 6: Final answer
    x = 482,183.54

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.