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Finding the Third Proportional to 111.69 and 236.88

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Solution

The third proportional to 111.69 and 236.88 is: 502.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.69 : 236.88 = 236.88 : x
  2. Step 2: Convert to fraction form
    111.69/236.88 = 236.88/x
  3. Step 3: Cross multiply
    111.69x = 236.88 × 236.88
  4. Step 4: Simplify right side
    111.69x = 56,109.77
  5. Step 5: Solve for x
    x = 56,109.77/111.69
  6. Step 6: Final answer
    x = 502.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.