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Finding the Third Proportional to 179.02 and 266.48

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Solution

The third proportional to 179.02 and 266.48 is: 396.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.02 : 266.48 = 266.48 : x
  2. Step 2: Convert to fraction form
    179.02/266.48 = 266.48/x
  3. Step 3: Cross multiply
    179.02x = 266.48 × 266.48
  4. Step 4: Simplify right side
    179.02x = 71,013.92
  5. Step 5: Solve for x
    x = 71,013.92/179.02
  6. Step 6: Final answer
    x = 396.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.