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Finding the Third Proportional to 182,337 and 393,834

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Solution

The third proportional to 182,337 and 393,834 is: 850,651.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,337 : 393,834 = 393,834 : x
  2. Step 2: Convert to fraction form
    182,337/393,834 = 393,834/x
  3. Step 3: Cross multiply
    182,337x = 393,834 × 393,834
  4. Step 4: Simplify right side
    182,337x = 155,105,219,556
  5. Step 5: Solve for x
    x = 155,105,219,556/182,337
  6. Step 6: Final answer
    x = 850,651.37

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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.