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Finding the Third Proportional to 241.22 and 344.63

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Solution

The third proportional to 241.22 and 344.63 is: 492.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.22 : 344.63 = 344.63 : x
  2. Step 2: Convert to fraction form
    241.22/344.63 = 344.63/x
  3. Step 3: Cross multiply
    241.22x = 344.63 × 344.63
  4. Step 4: Simplify right side
    241.22x = 118,766.39
  5. Step 5: Solve for x
    x = 118,766.39/241.22
  6. Step 6: Final answer
    x = 492.36

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.