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Finding the Third Proportional to 112.22 and 245.25

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Solution

The third proportional to 112.22 and 245.25 is: 535.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.22 : 245.25 = 245.25 : x
  2. Step 2: Convert to fraction form
    112.22/245.25 = 245.25/x
  3. Step 3: Cross multiply
    112.22x = 245.25 × 245.25
  4. Step 4: Simplify right side
    112.22x = 60,147.56
  5. Step 5: Solve for x
    x = 60,147.56/112.22
  6. Step 6: Final answer
    x = 535.98

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.