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Finding the Third Proportional to 241.45 and 363.30

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Solution

The third proportional to 241.45 and 363.30 is: 546.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.45 : 363.30 = 363.30 : x
  2. Step 2: Convert to fraction form
    241.45/363.30 = 363.30/x
  3. Step 3: Cross multiply
    241.45x = 363.30 × 363.30
  4. Step 4: Simplify right side
    241.45x = 131,990.30
  5. Step 5: Solve for x
    x = 131,990.30/241.45
  6. Step 6: Final answer
    x = 546.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.