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Finding the Third Proportional to 112.56 and 233.69

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Solution

The third proportional to 112.56 and 233.69 is: 485.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.56 : 233.69 = 233.69 : x
  2. Step 2: Convert to fraction form
    112.56/233.69 = 233.69/x
  3. Step 3: Cross multiply
    112.56x = 233.69 × 233.69
  4. Step 4: Simplify right side
    112.56x = 54,609.85
  5. Step 5: Solve for x
    x = 54,609.85/112.56
  6. Step 6: Final answer
    x = 485.15

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.