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Finding the Third Proportional to 194,609 and 421,204

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Solution

The third proportional to 194,609 and 421,204 is: 911,637.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,609 : 421,204 = 421,204 : x
  2. Step 2: Convert to fraction form
    194,609/421,204 = 421,204/x
  3. Step 3: Cross multiply
    194,609x = 421,204 × 421,204
  4. Step 4: Simplify right side
    194,609x = 177,412,809,616
  5. Step 5: Solve for x
    x = 177,412,809,616/194,609
  6. Step 6: Final answer
    x = 911,637.23

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.