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Finding the Third Proportional to 119,568 and 263,112

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Solution

The third proportional to 119,568 and 263,112 is: 578,983.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,568 : 263,112 = 263,112 : x
  2. Step 2: Convert to fraction form
    119,568/263,112 = 263,112/x
  3. Step 3: Cross multiply
    119,568x = 263,112 × 263,112
  4. Step 4: Simplify right side
    119,568x = 69,227,924,544
  5. Step 5: Solve for x
    x = 69,227,924,544/119,568
  6. Step 6: Final answer
    x = 578,983.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.