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Finding the Third Proportional to 119,226 and 248,244

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Solution

The third proportional to 119,226 and 248,244 is: 516,876.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,226 : 248,244 = 248,244 : x
  2. Step 2: Convert to fraction form
    119,226/248,244 = 248,244/x
  3. Step 3: Cross multiply
    119,226x = 248,244 × 248,244
  4. Step 4: Simplify right side
    119,226x = 61,625,083,536
  5. Step 5: Solve for x
    x = 61,625,083,536/119,226
  6. Step 6: Final answer
    x = 516,876.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.