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Finding the Third Proportional to 206,000 and 445,696

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Solution

The third proportional to 206,000 and 445,696 is: 964,295.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,000 : 445,696 = 445,696 : x
  2. Step 2: Convert to fraction form
    206,000/445,696 = 445,696/x
  3. Step 3: Cross multiply
    206,000x = 445,696 × 445,696
  4. Step 4: Simplify right side
    206,000x = 198,644,924,416
  5. Step 5: Solve for x
    x = 198,644,924,416/206,000
  6. Step 6: Final answer
    x = 964,295.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.