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Finding the Third Proportional to 266.63 and 399.38

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Solution

The third proportional to 266.63 and 399.38 is: 598.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.63 : 399.38 = 399.38 : x
  2. Step 2: Convert to fraction form
    266.63/399.38 = 399.38/x
  3. Step 3: Cross multiply
    266.63x = 399.38 × 399.38
  4. Step 4: Simplify right side
    266.63x = 159,500.39
  5. Step 5: Solve for x
    x = 159,500.39/266.63
  6. Step 6: Final answer
    x = 598.22

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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.