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Finding the Third Proportional to 193.06 and 245.44

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Solution

The third proportional to 193.06 and 245.44 is: 312.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.06 : 245.44 = 245.44 : x
  2. Step 2: Convert to fraction form
    193.06/245.44 = 245.44/x
  3. Step 3: Cross multiply
    193.06x = 245.44 × 245.44
  4. Step 4: Simplify right side
    193.06x = 60,239.57
  5. Step 5: Solve for x
    x = 60,239.57/193.06
  6. Step 6: Final answer
    x = 312.02

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.