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Finding the Third Proportional to 188,019 and 410,336

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Solution

The third proportional to 188,019 and 410,336 is: 895,524.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,019 : 410,336 = 410,336 : x
  2. Step 2: Convert to fraction form
    188,019/410,336 = 410,336/x
  3. Step 3: Cross multiply
    188,019x = 410,336 × 410,336
  4. Step 4: Simplify right side
    188,019x = 168,375,632,896
  5. Step 5: Solve for x
    x = 168,375,632,896/188,019
  6. Step 6: Final answer
    x = 895,524.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.