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Finding the Third Proportional to 207,165 and 443,826

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Solution

The third proportional to 207,165 and 443,826 is: 950,843.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,165 : 443,826 = 443,826 : x
  2. Step 2: Convert to fraction form
    207,165/443,826 = 443,826/x
  3. Step 3: Cross multiply
    207,165x = 443,826 × 443,826
  4. Step 4: Simplify right side
    207,165x = 196,981,518,276
  5. Step 5: Solve for x
    x = 196,981,518,276/207,165
  6. Step 6: Final answer
    x = 950,843.62

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.