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Finding the Third Proportional to 94,766 and 206,234

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Solution

The third proportional to 94,766 and 206,234 is: 448,815.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,766 : 206,234 = 206,234 : x
  2. Step 2: Convert to fraction form
    94,766/206,234 = 206,234/x
  3. Step 3: Cross multiply
    94,766x = 206,234 × 206,234
  4. Step 4: Simplify right side
    94,766x = 42,532,462,756
  5. Step 5: Solve for x
    x = 42,532,462,756/94,766
  6. Step 6: Final answer
    x = 448,815.64

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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.