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Finding the Third Proportional to 195 and 308.50

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Solution

The third proportional to 195 and 308.50 is: 488.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    195 : 308.50 = 308.50 : x
  2. Step 2: Convert to fraction form
    195/308.50 = 308.50/x
  3. Step 3: Cross multiply
    195x = 308.50 × 308.50
  4. Step 4: Simplify right side
    195x = 95,172.25
  5. Step 5: Solve for x
    x = 95,172.25/195
  6. Step 6: Final answer
    x = 488.06

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.