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Finding the Third Proportional to 266.77 and 400.92

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Solution

The third proportional to 266.77 and 400.92 is: 602.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.77 : 400.92 = 400.92 : x
  2. Step 2: Convert to fraction form
    266.77/400.92 = 400.92/x
  3. Step 3: Cross multiply
    266.77x = 400.92 × 400.92
  4. Step 4: Simplify right side
    266.77x = 160,738.35
  5. Step 5: Solve for x
    x = 160,738.35/266.77
  6. Step 6: Final answer
    x = 602.55

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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.