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Finding the Third Proportional to 173,877 and 381,003

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Solution

The third proportional to 173,877 and 381,003 is: 834,861.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,877 : 381,003 = 381,003 : x
  2. Step 2: Convert to fraction form
    173,877/381,003 = 381,003/x
  3. Step 3: Cross multiply
    173,877x = 381,003 × 381,003
  4. Step 4: Simplify right side
    173,877x = 145,163,286,009
  5. Step 5: Solve for x
    x = 145,163,286,009/173,877
  6. Step 6: Final answer
    x = 834,861.92

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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.