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Finding the Third Proportional to 173,881 and 381,010

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Solution

The third proportional to 173,881 and 381,010 is: 834,873.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,881 : 381,010 = 381,010 : x
  2. Step 2: Convert to fraction form
    173,881/381,010 = 381,010/x
  3. Step 3: Cross multiply
    173,881x = 381,010 × 381,010
  4. Step 4: Simplify right side
    173,881x = 145,168,620,100
  5. Step 5: Solve for x
    x = 145,168,620,100/173,881
  6. Step 6: Final answer
    x = 834,873.39

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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.