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Finding the Third Proportional to 115,455.38 and 225,078.75

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Solution

The third proportional to 115,455.38 and 225,078.75 is: 438,788.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,455.38 : 225,078.75 = 225,078.75 : x
  2. Step 2: Convert to fraction form
    115,455.38/225,078.75 = 225,078.75/x
  3. Step 3: Cross multiply
    115,455.38x = 225,078.75 × 225,078.75
  4. Step 4: Simplify right side
    115,455.38x = 50,660,443,701.56
  5. Step 5: Solve for x
    x = 50,660,443,701.56/115,455.38
  6. Step 6: Final answer
    x = 438,788.09

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These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.