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Finding the Third Proportional to 206,401.50 and 443,322

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Solution

The third proportional to 206,401.50 and 443,322 is: 952,194.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,401.50 : 443,322 = 443,322 : x
  2. Step 2: Convert to fraction form
    206,401.50/443,322 = 443,322/x
  3. Step 3: Cross multiply
    206,401.50x = 443,322 × 443,322
  4. Step 4: Simplify right side
    206,401.50x = 196,534,395,684
  5. Step 5: Solve for x
    x = 196,534,395,684/206,401.50
  6. Step 6: Final answer
    x = 952,194.61

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.