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Finding the Third Proportional to 112.94 and 237.97

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Solution

The third proportional to 112.94 and 237.97 is: 501.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.94 : 237.97 = 237.97 : x
  2. Step 2: Convert to fraction form
    112.94/237.97 = 237.97/x
  3. Step 3: Cross multiply
    112.94x = 237.97 × 237.97
  4. Step 4: Simplify right side
    112.94x = 56,629.13
  5. Step 5: Solve for x
    x = 56,629.13/112.94
  6. Step 6: Final answer
    x = 501.42

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.