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Finding the Third Proportional to 197.16 and 304.31

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Solution

The third proportional to 197.16 and 304.31 is: 469.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.16 : 304.31 = 304.31 : x
  2. Step 2: Convert to fraction form
    197.16/304.31 = 304.31/x
  3. Step 3: Cross multiply
    197.16x = 304.31 × 304.31
  4. Step 4: Simplify right side
    197.16x = 92,606.10
  5. Step 5: Solve for x
    x = 92,606.10/197.16
  6. Step 6: Final answer
    x = 469.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.