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Finding the Third Proportional to 168,859 and 365,740

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Solution

The third proportional to 168,859 and 365,740 is: 792,174.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,859 : 365,740 = 365,740 : x
  2. Step 2: Convert to fraction form
    168,859/365,740 = 365,740/x
  3. Step 3: Cross multiply
    168,859x = 365,740 × 365,740
  4. Step 4: Simplify right side
    168,859x = 133,765,747,600
  5. Step 5: Solve for x
    x = 133,765,747,600/168,859
  6. Step 6: Final answer
    x = 792,174.23

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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.