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Finding the Third Proportional to 197.02 and 294.89

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Solution

The third proportional to 197.02 and 294.89 is: 441.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.02 : 294.89 = 294.89 : x
  2. Step 2: Convert to fraction form
    197.02/294.89 = 294.89/x
  3. Step 3: Cross multiply
    197.02x = 294.89 × 294.89
  4. Step 4: Simplify right side
    197.02x = 86,960.48
  5. Step 5: Solve for x
    x = 86,960.48/197.02
  6. Step 6: Final answer
    x = 441.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.