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Finding the Third Proportional to 116.24 and 242.09

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Solution

The third proportional to 116.24 and 242.09 is: 504.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.24 : 242.09 = 242.09 : x
  2. Step 2: Convert to fraction form
    116.24/242.09 = 242.09/x
  3. Step 3: Cross multiply
    116.24x = 242.09 × 242.09
  4. Step 4: Simplify right side
    116.24x = 58,605.60
  5. Step 5: Solve for x
    x = 58,605.60/116.24
  6. Step 6: Final answer
    x = 504.18

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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.