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Finding the Third Proportional to 203,514 and 443,187

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Solution

The third proportional to 203,514 and 443,187 is: 965,116.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,514 : 443,187 = 443,187 : x
  2. Step 2: Convert to fraction form
    203,514/443,187 = 443,187/x
  3. Step 3: Cross multiply
    203,514x = 443,187 × 443,187
  4. Step 4: Simplify right side
    203,514x = 196,414,716,969
  5. Step 5: Solve for x
    x = 196,414,716,969/203,514
  6. Step 6: Final answer
    x = 965,116.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.