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Finding the Third Proportional to 241.97 and 529.22

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Solution

The third proportional to 241.97 and 529.22 is: 1,157.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.97 : 529.22 = 529.22 : x
  2. Step 2: Convert to fraction form
    241.97/529.22 = 529.22/x
  3. Step 3: Cross multiply
    241.97x = 529.22 × 529.22
  4. Step 4: Simplify right side
    241.97x = 280,072.49
  5. Step 5: Solve for x
    x = 280,072.49/241.97
  6. Step 6: Final answer
    x = 1,157.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.