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Finding the Third Proportional to 199 and 264.25

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Solution

The third proportional to 199 and 264.25 is: 350.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    199 : 264.25 = 264.25 : x
  2. Step 2: Convert to fraction form
    199/264.25 = 264.25/x
  3. Step 3: Cross multiply
    199x = 264.25 × 264.25
  4. Step 4: Simplify right side
    199x = 69,828.06
  5. Step 5: Solve for x
    x = 69,828.06/199
  6. Step 6: Final answer
    x = 350.89

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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.