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Finding the Third Proportional to 241.94 and 498.88

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Solution

The third proportional to 241.94 and 498.88 is: 1,028.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    241.94 : 498.88 = 498.88 : x
  2. Step 2: Convert to fraction form
    241.94/498.88 = 498.88/x
  3. Step 3: Cross multiply
    241.94x = 498.88 × 498.88
  4. Step 4: Simplify right side
    241.94x = 248,876.27
  5. Step 5: Solve for x
    x = 248,876.27/241.94
  6. Step 6: Final answer
    x = 1,028.68

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.