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Finding the Third Proportional to 241.10 and 524.92

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Solution

The third proportional to 241.10 and 524.92 is: 1,142.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.10 : 524.92 = 524.92 : x
  2. Step 2: Convert to fraction form
    241.10/524.92 = 524.92/x
  3. Step 3: Cross multiply
    241.10x = 524.92 × 524.92
  4. Step 4: Simplify right side
    241.10x = 275,538.87
  5. Step 5: Solve for x
    x = 275,538.87/241.10
  6. Step 6: Final answer
    x = 1,142.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.