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Finding the Third Proportional to 116.84 and 241.28

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Solution

The third proportional to 116.84 and 241.28 is: 498.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.84 : 241.28 = 241.28 : x
  2. Step 2: Convert to fraction form
    116.84/241.28 = 241.28/x
  3. Step 3: Cross multiply
    116.84x = 241.28 × 241.28
  4. Step 4: Simplify right side
    116.84x = 58,216.64
  5. Step 5: Solve for x
    x = 58,216.64/116.84
  6. Step 6: Final answer
    x = 498.24

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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.