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Finding the Third Proportional to 172,082 and 378,571

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Solution

The third proportional to 172,082 and 378,571 is: 832,835.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,082 : 378,571 = 378,571 : x
  2. Step 2: Convert to fraction form
    172,082/378,571 = 378,571/x
  3. Step 3: Cross multiply
    172,082x = 378,571 × 378,571
  4. Step 4: Simplify right side
    172,082x = 143,316,002,041
  5. Step 5: Solve for x
    x = 143,316,002,041/172,082
  6. Step 6: Final answer
    x = 832,835.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.