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Finding the Third Proportional to 119,857 and 263,042

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Solution

The third proportional to 119,857 and 263,042 is: 577,280.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,857 : 263,042 = 263,042 : x
  2. Step 2: Convert to fraction form
    119,857/263,042 = 263,042/x
  3. Step 3: Cross multiply
    119,857x = 263,042 × 263,042
  4. Step 4: Simplify right side
    119,857x = 69,191,093,764
  5. Step 5: Solve for x
    x = 69,191,093,764/119,857
  6. Step 6: Final answer
    x = 577,280.37

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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.