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Finding the Third Proportional to 301.13 and 422.81

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Solution

The third proportional to 301.13 and 422.81 is: 593.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.13 : 422.81 = 422.81 : x
  2. Step 2: Convert to fraction form
    301.13/422.81 = 422.81/x
  3. Step 3: Cross multiply
    301.13x = 422.81 × 422.81
  4. Step 4: Simplify right side
    301.13x = 178,770.41
  5. Step 5: Solve for x
    x = 178,770.41/301.13
  6. Step 6: Final answer
    x = 593.68

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.