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Finding the Third Proportional to 172,529 and 377,044

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Solution

The third proportional to 172,529 and 377,044 is: 823,990.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,529 : 377,044 = 377,044 : x
  2. Step 2: Convert to fraction form
    172,529/377,044 = 377,044/x
  3. Step 3: Cross multiply
    172,529x = 377,044 × 377,044
  4. Step 4: Simplify right side
    172,529x = 142,162,177,936
  5. Step 5: Solve for x
    x = 142,162,177,936/172,529
  6. Step 6: Final answer
    x = 823,990.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.