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Finding the Third Proportional to 194,760 and 409,198

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Solution

The third proportional to 194,760 and 409,198 is: 859,740.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,760 : 409,198 = 409,198 : x
  2. Step 2: Convert to fraction form
    194,760/409,198 = 409,198/x
  3. Step 3: Cross multiply
    194,760x = 409,198 × 409,198
  4. Step 4: Simplify right side
    194,760x = 167,443,003,204
  5. Step 5: Solve for x
    x = 167,443,003,204/194,760
  6. Step 6: Final answer
    x = 859,740.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.