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Finding the Third Proportional to 244.50 and 495.38

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Solution

The third proportional to 244.50 and 495.38 is: 1,003.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    244.50 : 495.38 = 495.38 : x
  2. Step 2: Convert to fraction form
    244.50/495.38 = 495.38/x
  3. Step 3: Cross multiply
    244.50x = 495.38 × 495.38
  4. Step 4: Simplify right side
    244.50x = 245,396.39
  5. Step 5: Solve for x
    x = 245,396.39/244.50
  6. Step 6: Final answer
    x = 1,003.67

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.