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Finding the Third Proportional to 188,516 and 410,204

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Solution

The third proportional to 188,516 and 410,204 is: 892,589.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,516 : 410,204 = 410,204 : x
  2. Step 2: Convert to fraction form
    188,516/410,204 = 410,204/x
  3. Step 3: Cross multiply
    188,516x = 410,204 × 410,204
  4. Step 4: Simplify right side
    188,516x = 168,267,321,616
  5. Step 5: Solve for x
    x = 168,267,321,616/188,516
  6. Step 6: Final answer
    x = 892,589.07

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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.