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Finding the Third Proportional to 197.75 and 305.81

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Solution

The third proportional to 197.75 and 305.81 is: 472.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.75 : 305.81 = 305.81 : x
  2. Step 2: Convert to fraction form
    197.75/305.81 = 305.81/x
  3. Step 3: Cross multiply
    197.75x = 305.81 × 305.81
  4. Step 4: Simplify right side
    197.75x = 93,521.29
  5. Step 5: Solve for x
    x = 93,521.29/197.75
  6. Step 6: Final answer
    x = 472.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.