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Finding the Third Proportional to 188,352.75 and 444,540.94

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Solution

The third proportional to 188,352.75 and 444,540.94 is: 1,049,183.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,352.75 : 444,540.94 = 444,540.94 : x
  2. Step 2: Convert to fraction form
    188,352.75/444,540.94 = 444,540.94/x
  3. Step 3: Cross multiply
    188,352.75x = 444,540.94 × 444,540.94
  4. Step 4: Simplify right side
    188,352.75x = 197,616,645,113.38
  5. Step 5: Solve for x
    x = 197,616,645,113.38/188,352.75
  6. Step 6: Final answer
    x = 1,049,183.75

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.