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Finding the Third Proportional to 172,529 and 365,794

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Solution

The third proportional to 172,529 and 365,794 is: 775,552.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,529 : 365,794 = 365,794 : x
  2. Step 2: Convert to fraction form
    172,529/365,794 = 365,794/x
  3. Step 3: Cross multiply
    172,529x = 365,794 × 365,794
  4. Step 4: Simplify right side
    172,529x = 133,805,250,436
  5. Step 5: Solve for x
    x = 133,805,250,436/172,529
  6. Step 6: Final answer
    x = 775,552.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.