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Finding the Third Proportional to 195 and 280

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Solution

The third proportional to 195 and 280 is: 402.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    195 : 280 = 280 : x
  2. Step 2: Convert to fraction form
    195/280 = 280/x
  3. Step 3: Cross multiply
    195x = 280 × 280
  4. Step 4: Simplify right side
    195x = 78,400
  5. Step 5: Solve for x
    x = 78,400/195
  6. Step 6: Final answer
    x = 402.05

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.