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Finding the Third Proportional to 199.50 and 290.25

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Solution

The third proportional to 199.50 and 290.25 is: 422.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    199.50 : 290.25 = 290.25 : x
  2. Step 2: Convert to fraction form
    199.50/290.25 = 290.25/x
  3. Step 3: Cross multiply
    199.50x = 290.25 × 290.25
  4. Step 4: Simplify right side
    199.50x = 84,245.06
  5. Step 5: Solve for x
    x = 84,245.06/199.50
  6. Step 6: Final answer
    x = 422.28

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.