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Finding the Third Proportional to 116.44 and 236.25

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Solution

The third proportional to 116.44 and 236.25 is: 479.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.44 : 236.25 = 236.25 : x
  2. Step 2: Convert to fraction form
    116.44/236.25 = 236.25/x
  3. Step 3: Cross multiply
    116.44x = 236.25 × 236.25
  4. Step 4: Simplify right side
    116.44x = 55,814.06
  5. Step 5: Solve for x
    x = 55,814.06/116.44
  6. Step 6: Final answer
    x = 479.35

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.