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Finding the Third Proportional to 195.06 and 260.56

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Solution

The third proportional to 195.06 and 260.56 is: 348.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.06 : 260.56 = 260.56 : x
  2. Step 2: Convert to fraction form
    195.06/260.56 = 260.56/x
  3. Step 3: Cross multiply
    195.06x = 260.56 × 260.56
  4. Step 4: Simplify right side
    195.06x = 67,891.80
  5. Step 5: Solve for x
    x = 67,891.80/195.06
  6. Step 6: Final answer
    x = 348.05

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.