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Finding the Third Proportional to 183,727 and 393,698

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Solution

The third proportional to 183,727 and 393,698 is: 843,632.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,727 : 393,698 = 393,698 : x
  2. Step 2: Convert to fraction form
    183,727/393,698 = 393,698/x
  3. Step 3: Cross multiply
    183,727x = 393,698 × 393,698
  4. Step 4: Simplify right side
    183,727x = 154,998,115,204
  5. Step 5: Solve for x
    x = 154,998,115,204/183,727
  6. Step 6: Final answer
    x = 843,632.76

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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.