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Finding the Third Proportional to 203,400 and 300,946

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Solution

The third proportional to 203,400 and 300,946 is: 445,272.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,400 : 300,946 = 300,946 : x
  2. Step 2: Convert to fraction form
    203,400/300,946 = 300,946/x
  3. Step 3: Cross multiply
    203,400x = 300,946 × 300,946
  4. Step 4: Simplify right side
    203,400x = 90,568,494,916
  5. Step 5: Solve for x
    x = 90,568,494,916/203,400
  6. Step 6: Final answer
    x = 445,272.84

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.