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Finding the Third Proportional to 173,881 and 381,011

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Solution

The third proportional to 173,881 and 381,011 is: 834,877.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,881 : 381,011 = 381,011 : x
  2. Step 2: Convert to fraction form
    173,881/381,011 = 381,011/x
  3. Step 3: Cross multiply
    173,881x = 381,011 × 381,011
  4. Step 4: Simplify right side
    173,881x = 145,169,382,121
  5. Step 5: Solve for x
    x = 145,169,382,121/173,881
  6. Step 6: Final answer
    x = 834,877.77

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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.