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Finding the Third Proportional to 295,204 and 443,110

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Solution

The third proportional to 295,204 and 443,110 is: 665,121.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,204 : 443,110 = 443,110 : x
  2. Step 2: Convert to fraction form
    295,204/443,110 = 443,110/x
  3. Step 3: Cross multiply
    295,204x = 443,110 × 443,110
  4. Step 4: Simplify right side
    295,204x = 196,346,472,100
  5. Step 5: Solve for x
    x = 196,346,472,100/295,204
  6. Step 6: Final answer
    x = 665,121.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.