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Finding the Third Proportional to 195.94 and 409.88

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Solution

The third proportional to 195.94 and 409.88 is: 857.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.94 : 409.88 = 409.88 : x
  2. Step 2: Convert to fraction form
    195.94/409.88 = 409.88/x
  3. Step 3: Cross multiply
    195.94x = 409.88 × 409.88
  4. Step 4: Simplify right side
    195.94x = 167,997.52
  5. Step 5: Solve for x
    x = 167,997.52/195.94
  6. Step 6: Final answer
    x = 857.40

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.