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Finding the Third Proportional to 195.75 and 410.48

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Solution

The third proportional to 195.75 and 410.48 is: 860.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.75 : 410.48 = 410.48 : x
  2. Step 2: Convert to fraction form
    195.75/410.48 = 410.48/x
  3. Step 3: Cross multiply
    195.75x = 410.48 × 410.48
  4. Step 4: Simplify right side
    195.75x = 168,497.42
  5. Step 5: Solve for x
    x = 168,497.42/195.75
  6. Step 6: Final answer
    x = 860.78

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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.