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Finding the Third Proportional to 173,601 and 380,439

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Solution

The third proportional to 173,601 and 380,439 is: 833,715.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,601 : 380,439 = 380,439 : x
  2. Step 2: Convert to fraction form
    173,601/380,439 = 380,439/x
  3. Step 3: Cross multiply
    173,601x = 380,439 × 380,439
  4. Step 4: Simplify right side
    173,601x = 144,733,832,721
  5. Step 5: Solve for x
    x = 144,733,832,721/173,601
  6. Step 6: Final answer
    x = 833,715.43

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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.