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Finding the Third Proportional to 200,812 and 301,227

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Solution

The third proportional to 200,812 and 301,227 is: 451,854.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,812 : 301,227 = 301,227 : x
  2. Step 2: Convert to fraction form
    200,812/301,227 = 301,227/x
  3. Step 3: Cross multiply
    200,812x = 301,227 × 301,227
  4. Step 4: Simplify right side
    200,812x = 90,737,705,529
  5. Step 5: Solve for x
    x = 90,737,705,529/200,812
  6. Step 6: Final answer
    x = 451,854.00

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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.