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Finding the Third Proportional to 194,137 and 397,684

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Solution

The third proportional to 194,137 and 397,684 is: 814,644.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,137 : 397,684 = 397,684 : x
  2. Step 2: Convert to fraction form
    194,137/397,684 = 397,684/x
  3. Step 3: Cross multiply
    194,137x = 397,684 × 397,684
  4. Step 4: Simplify right side
    194,137x = 158,152,563,856
  5. Step 5: Solve for x
    x = 158,152,563,856/194,137
  6. Step 6: Final answer
    x = 814,644.11

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.