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Finding the Third Proportional to 241.17 and 448.17

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Solution

The third proportional to 241.17 and 448.17 is: 832.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.17 : 448.17 = 448.17 : x
  2. Step 2: Convert to fraction form
    241.17/448.17 = 448.17/x
  3. Step 3: Cross multiply
    241.17x = 448.17 × 448.17
  4. Step 4: Simplify right side
    241.17x = 200,858.03
  5. Step 5: Solve for x
    x = 200,858.03/241.17
  6. Step 6: Final answer
    x = 832.84

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.