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Finding the Third Proportional to 188,467.25 and 410,176

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Solution

The third proportional to 188,467.25 and 410,176 is: 892,698.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,467.25 : 410,176 = 410,176 : x
  2. Step 2: Convert to fraction form
    188,467.25/410,176 = 410,176/x
  3. Step 3: Cross multiply
    188,467.25x = 410,176 × 410,176
  4. Step 4: Simplify right side
    188,467.25x = 168,244,350,976
  5. Step 5: Solve for x
    x = 168,244,350,976/188,467.25
  6. Step 6: Final answer
    x = 892,698.07

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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.