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Finding the Third Proportional to 195.95 and 260.03

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Solution

The third proportional to 195.95 and 260.03 is: 345.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.95 : 260.03 = 260.03 : x
  2. Step 2: Convert to fraction form
    195.95/260.03 = 260.03/x
  3. Step 3: Cross multiply
    195.95x = 260.03 × 260.03
  4. Step 4: Simplify right side
    195.95x = 67,613.84
  5. Step 5: Solve for x
    x = 67,613.84/195.95
  6. Step 6: Final answer
    x = 345.05

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.