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Finding the Third Proportional to 112.36 and 238.22

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Solution

The third proportional to 112.36 and 238.22 is: 505.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.36 : 238.22 = 238.22 : x
  2. Step 2: Convert to fraction form
    112.36/238.22 = 238.22/x
  3. Step 3: Cross multiply
    112.36x = 238.22 × 238.22
  4. Step 4: Simplify right side
    112.36x = 56,748.17
  5. Step 5: Solve for x
    x = 56,748.17/112.36
  6. Step 6: Final answer
    x = 505.06

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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.