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Finding the Third Proportional to 197.23 and 304.17

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Solution

The third proportional to 197.23 and 304.17 is: 469.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.23 : 304.17 = 304.17 : x
  2. Step 2: Convert to fraction form
    197.23/304.17 = 304.17/x
  3. Step 3: Cross multiply
    197.23x = 304.17 × 304.17
  4. Step 4: Simplify right side
    197.23x = 92,520.53
  5. Step 5: Solve for x
    x = 92,520.53/197.23
  6. Step 6: Final answer
    x = 469.11

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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.