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Finding the Third Proportional to 198.75 and 290.25

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Solution

The third proportional to 198.75 and 290.25 is: 423.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.75 : 290.25 = 290.25 : x
  2. Step 2: Convert to fraction form
    198.75/290.25 = 290.25/x
  3. Step 3: Cross multiply
    198.75x = 290.25 × 290.25
  4. Step 4: Simplify right side
    198.75x = 84,245.06
  5. Step 5: Solve for x
    x = 84,245.06/198.75
  6. Step 6: Final answer
    x = 423.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.