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Finding the Third Proportional to 194,786 and 419,164

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Solution

The third proportional to 194,786 and 419,164 is: 902,007.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,786 : 419,164 = 419,164 : x
  2. Step 2: Convert to fraction form
    194,786/419,164 = 419,164/x
  3. Step 3: Cross multiply
    194,786x = 419,164 × 419,164
  4. Step 4: Simplify right side
    194,786x = 175,698,458,896
  5. Step 5: Solve for x
    x = 175,698,458,896/194,786
  6. Step 6: Final answer
    x = 902,007.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.