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Finding the Third Proportional to 116.40 and 242.41

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Solution

The third proportional to 116.40 and 242.41 is: 504.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.40 : 242.41 = 242.41 : x
  2. Step 2: Convert to fraction form
    116.40/242.41 = 242.41/x
  3. Step 3: Cross multiply
    116.40x = 242.41 × 242.41
  4. Step 4: Simplify right side
    116.40x = 58,761.03
  5. Step 5: Solve for x
    x = 58,761.03/116.40
  6. Step 6: Final answer
    x = 504.83

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.