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Finding the Third Proportional to 203,998.50 and 444,288.38

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Solution

The third proportional to 203,998.50 and 444,288.38 is: 967,615.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,998.50 : 444,288.38 = 444,288.38 : x
  2. Step 2: Convert to fraction form
    203,998.50/444,288.38 = 444,288.38/x
  3. Step 3: Cross multiply
    203,998.50x = 444,288.38 × 444,288.38
  4. Step 4: Simplify right side
    203,998.50x = 197,392,160,160.14
  5. Step 5: Solve for x
    x = 197,392,160,160.14/203,998.50
  6. Step 6: Final answer
    x = 967,615.74

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.