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Finding the Third Proportional to 168,384.50 and 365,834

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Solution

The third proportional to 168,384.50 and 365,834 is: 794,814.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,384.50 : 365,834 = 365,834 : x
  2. Step 2: Convert to fraction form
    168,384.50/365,834 = 365,834/x
  3. Step 3: Cross multiply
    168,384.50x = 365,834 × 365,834
  4. Step 4: Simplify right side
    168,384.50x = 133,834,515,556
  5. Step 5: Solve for x
    x = 133,834,515,556/168,384.50
  6. Step 6: Final answer
    x = 794,814.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.