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Finding the Third Proportional to 203,453.25 and 441,933.38

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Solution

The third proportional to 203,453.25 and 441,933.38 is: 959,950.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,453.25 : 441,933.38 = 441,933.38 : x
  2. Step 2: Convert to fraction form
    203,453.25/441,933.38 = 441,933.38/x
  3. Step 3: Cross multiply
    203,453.25x = 441,933.38 × 441,933.38
  4. Step 4: Simplify right side
    203,453.25x = 195,305,107,938.89
  5. Step 5: Solve for x
    x = 195,305,107,938.89/203,453.25
  6. Step 6: Final answer
    x = 959,950.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.