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Finding the Third Proportional to 154 and 199.75

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Solution

The third proportional to 154 and 199.75 is: 259.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    154 : 199.75 = 199.75 : x
  2. Step 2: Convert to fraction form
    154/199.75 = 199.75/x
  3. Step 3: Cross multiply
    154x = 199.75 × 199.75
  4. Step 4: Simplify right side
    154x = 39,900.06
  5. Step 5: Solve for x
    x = 39,900.06/154
  6. Step 6: Final answer
    x = 259.09

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.