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Finding the Third Proportional to 236.81 and 335.91

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Solution

The third proportional to 236.81 and 335.91 is: 476.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.81 : 335.91 = 335.91 : x
  2. Step 2: Convert to fraction form
    236.81/335.91 = 335.91/x
  3. Step 3: Cross multiply
    236.81x = 335.91 × 335.91
  4. Step 4: Simplify right side
    236.81x = 112,833.01
  5. Step 5: Solve for x
    x = 112,833.01/236.81
  6. Step 6: Final answer
    x = 476.47

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.