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Finding the Third Proportional to 175,219.50 and 381,198.75

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Solution

The third proportional to 175,219.50 and 381,198.75 is: 829,316.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,219.50 : 381,198.75 = 381,198.75 : x
  2. Step 2: Convert to fraction form
    175,219.50/381,198.75 = 381,198.75/x
  3. Step 3: Cross multiply
    175,219.50x = 381,198.75 × 381,198.75
  4. Step 4: Simplify right side
    175,219.50x = 145,312,487,001.56
  5. Step 5: Solve for x
    x = 145,312,487,001.56/175,219.50
  6. Step 6: Final answer
    x = 829,316.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.