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Finding the Third Proportional to 120 and 199.75

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Solution

The third proportional to 120 and 199.75 is: 332.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120 : 199.75 = 199.75 : x
  2. Step 2: Convert to fraction form
    120/199.75 = 199.75/x
  3. Step 3: Cross multiply
    120x = 199.75 × 199.75
  4. Step 4: Simplify right side
    120x = 39,900.06
  5. Step 5: Solve for x
    x = 39,900.06/120
  6. Step 6: Final answer
    x = 332.50

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.