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Finding the Third Proportional to 188,866.69 and 410,940.84

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Solution

The third proportional to 188,866.69 and 410,940.84 is: 894,135.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,866.69 : 410,940.84 = 410,940.84 : x
  2. Step 2: Convert to fraction form
    188,866.69/410,940.84 = 410,940.84/x
  3. Step 3: Cross multiply
    188,866.69x = 410,940.84 × 410,940.84
  4. Step 4: Simplify right side
    188,866.69x = 168,872,377,061.96
  5. Step 5: Solve for x
    x = 168,872,377,061.96/188,866.69
  6. Step 6: Final answer
    x = 894,135.33

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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.