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Finding the Third Proportional to 173,872 and 381,536

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Solution

The third proportional to 173,872 and 381,536 is: 837,223.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,872 : 381,536 = 381,536 : x
  2. Step 2: Convert to fraction form
    173,872/381,536 = 381,536/x
  3. Step 3: Cross multiply
    173,872x = 381,536 × 381,536
  4. Step 4: Simplify right side
    173,872x = 145,569,719,296
  5. Step 5: Solve for x
    x = 145,569,719,296/173,872
  6. Step 6: Final answer
    x = 837,223.47

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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.