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Finding the Third Proportional to 194,794 and 405,175

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Solution

The third proportional to 194,794 and 405,175 is: 842,771.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,794 : 405,175 = 405,175 : x
  2. Step 2: Convert to fraction form
    194,794/405,175 = 405,175/x
  3. Step 3: Cross multiply
    194,794x = 405,175 × 405,175
  4. Step 4: Simplify right side
    194,794x = 164,166,780,625
  5. Step 5: Solve for x
    x = 164,166,780,625/194,794
  6. Step 6: Final answer
    x = 842,771.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.