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Finding the Third Proportional to 242.05 and 363.08

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Solution

The third proportional to 242.05 and 363.08 is: 544.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.05 : 363.08 = 363.08 : x
  2. Step 2: Convert to fraction form
    242.05/363.08 = 363.08/x
  3. Step 3: Cross multiply
    242.05x = 363.08 × 363.08
  4. Step 4: Simplify right side
    242.05x = 131,824.31
  5. Step 5: Solve for x
    x = 131,824.31/242.05
  6. Step 6: Final answer
    x = 544.61

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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.