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Finding the Third Proportional to 175,760 and 263,214

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Solution

The third proportional to 175,760 and 263,214 is: 394,183.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,760 : 263,214 = 263,214 : x
  2. Step 2: Convert to fraction form
    175,760/263,214 = 263,214/x
  3. Step 3: Cross multiply
    175,760x = 263,214 × 263,214
  4. Step 4: Simplify right side
    175,760x = 69,281,609,796
  5. Step 5: Solve for x
    x = 69,281,609,796/175,760
  6. Step 6: Final answer
    x = 394,183.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.