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Finding the Third Proportional to 194,993 and 405,296

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Solution

The third proportional to 194,993 and 405,296 is: 842,414.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,993 : 405,296 = 405,296 : x
  2. Step 2: Convert to fraction form
    194,993/405,296 = 405,296/x
  3. Step 3: Cross multiply
    194,993x = 405,296 × 405,296
  4. Step 4: Simplify right side
    194,993x = 164,264,847,616
  5. Step 5: Solve for x
    x = 164,264,847,616/194,993
  6. Step 6: Final answer
    x = 842,414.07

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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.