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Finding the Third Proportional to 294.05 and 440.16

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Solution

The third proportional to 294.05 and 440.16 is: 658.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.05 : 440.16 = 440.16 : x
  2. Step 2: Convert to fraction form
    294.05/440.16 = 440.16/x
  3. Step 3: Cross multiply
    294.05x = 440.16 × 440.16
  4. Step 4: Simplify right side
    294.05x = 193,737.52
  5. Step 5: Solve for x
    x = 193,737.52/294.05
  6. Step 6: Final answer
    x = 658.87

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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.