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Finding the Third Proportional to 361.88 and 639.38

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Solution

The third proportional to 361.88 and 639.38 is: 1,129.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    361.88 : 639.38 = 639.38 : x
  2. Step 2: Convert to fraction form
    361.88/639.38 = 639.38/x
  3. Step 3: Cross multiply
    361.88x = 639.38 × 639.38
  4. Step 4: Simplify right side
    361.88x = 408,800.39
  5. Step 5: Solve for x
    x = 408,800.39/361.88
  6. Step 6: Final answer
    x = 1,129.67

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.