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Finding the Third Proportional to 241.81 and 369.96

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Solution

The third proportional to 241.81 and 369.96 is: 566.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.81 : 369.96 = 369.96 : x
  2. Step 2: Convert to fraction form
    241.81/369.96 = 369.96/x
  3. Step 3: Cross multiply
    241.81x = 369.96 × 369.96
  4. Step 4: Simplify right side
    241.81x = 136,868.93
  5. Step 5: Solve for x
    x = 136,868.93/241.81
  6. Step 6: Final answer
    x = 566.01

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.