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Finding the Third Proportional to 242.75 and 363.25

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Solution

The third proportional to 242.75 and 363.25 is: 543.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.75 : 363.25 = 363.25 : x
  2. Step 2: Convert to fraction form
    242.75/363.25 = 363.25/x
  3. Step 3: Cross multiply
    242.75x = 363.25 × 363.25
  4. Step 4: Simplify right side
    242.75x = 131,950.56
  5. Step 5: Solve for x
    x = 131,950.56/242.75
  6. Step 6: Final answer
    x = 543.57

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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.