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Finding the Third Proportional to 112.88 and 245.94

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Solution

The third proportional to 112.88 and 245.94 is: 535.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.88 : 245.94 = 245.94 : x
  2. Step 2: Convert to fraction form
    112.88/245.94 = 245.94/x
  3. Step 3: Cross multiply
    112.88x = 245.94 × 245.94
  4. Step 4: Simplify right side
    112.88x = 60,485.25
  5. Step 5: Solve for x
    x = 60,485.25/112.88
  6. Step 6: Final answer
    x = 535.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.