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Finding the Third Proportional to 173,895 and 381,126

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Solution

The third proportional to 173,895 and 381,126 is: 835,314.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,895 : 381,126 = 381,126 : x
  2. Step 2: Convert to fraction form
    173,895/381,126 = 381,126/x
  3. Step 3: Cross multiply
    173,895x = 381,126 × 381,126
  4. Step 4: Simplify right side
    173,895x = 145,257,027,876
  5. Step 5: Solve for x
    x = 145,257,027,876/173,895
  6. Step 6: Final answer
    x = 835,314.57

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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.