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Finding the Third Proportional to 188,380.69 and 263,498.91

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Solution

The third proportional to 188,380.69 and 263,498.91 is: 368,571.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,380.69 : 263,498.91 = 263,498.91 : x
  2. Step 2: Convert to fraction form
    188,380.69/263,498.91 = 263,498.91/x
  3. Step 3: Cross multiply
    188,380.69x = 263,498.91 × 263,498.91
  4. Step 4: Simplify right side
    188,380.69x = 69,431,673,594.95
  5. Step 5: Solve for x
    x = 69,431,673,594.95/188,380.69
  6. Step 6: Final answer
    x = 368,571.08

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.