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Finding the Third Proportional to 241.06 and 457.44

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Solution

The third proportional to 241.06 and 457.44 is: 868.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.06 : 457.44 = 457.44 : x
  2. Step 2: Convert to fraction form
    241.06/457.44 = 457.44/x
  3. Step 3: Cross multiply
    241.06x = 457.44 × 457.44
  4. Step 4: Simplify right side
    241.06x = 209,249.07
  5. Step 5: Solve for x
    x = 209,249.07/241.06
  6. Step 6: Final answer
    x = 868.03

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.