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Finding the Third Proportional to 203,512 and 299,171

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Solution

The third proportional to 203,512 and 299,171 is: 439,793.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,512 : 299,171 = 299,171 : x
  2. Step 2: Convert to fraction form
    203,512/299,171 = 299,171/x
  3. Step 3: Cross multiply
    203,512x = 299,171 × 299,171
  4. Step 4: Simplify right side
    203,512x = 89,503,287,241
  5. Step 5: Solve for x
    x = 89,503,287,241/203,512
  6. Step 6: Final answer
    x = 439,793.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.