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Finding the Third Proportional to 111.06 and 236.36

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Solution

The third proportional to 111.06 and 236.36 is: 503.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.06 : 236.36 = 236.36 : x
  2. Step 2: Convert to fraction form
    111.06/236.36 = 236.36/x
  3. Step 3: Cross multiply
    111.06x = 236.36 × 236.36
  4. Step 4: Simplify right side
    111.06x = 55,863.91
  5. Step 5: Solve for x
    x = 55,863.91/111.06
  6. Step 6: Final answer
    x = 503.01

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.