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Finding the Third Proportional to 203,239.69 and 301,911.75

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Solution

The third proportional to 203,239.69 and 301,911.75 is: 448,488.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,239.69 : 301,911.75 = 301,911.75 : x
  2. Step 2: Convert to fraction form
    203,239.69/301,911.75 = 301,911.75/x
  3. Step 3: Cross multiply
    203,239.69x = 301,911.75 × 301,911.75
  4. Step 4: Simplify right side
    203,239.69x = 91,150,704,788.06
  5. Step 5: Solve for x
    x = 91,150,704,788.06/203,239.69
  6. Step 6: Final answer
    x = 448,488.71

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.