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Finding the Third Proportional to 175,561 and 381,010

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Solution

The third proportional to 175,561 and 381,010 is: 826,884.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,561 : 381,010 = 381,010 : x
  2. Step 2: Convert to fraction form
    175,561/381,010 = 381,010/x
  3. Step 3: Cross multiply
    175,561x = 381,010 × 381,010
  4. Step 4: Simplify right side
    175,561x = 145,168,620,100
  5. Step 5: Solve for x
    x = 145,168,620,100/175,561
  6. Step 6: Final answer
    x = 826,884.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.