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Finding the Third Proportional to 110,542 and 259,837

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Solution

The third proportional to 110,542 and 259,837 is: 610,765.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,542 : 259,837 = 259,837 : x
  2. Step 2: Convert to fraction form
    110,542/259,837 = 259,837/x
  3. Step 3: Cross multiply
    110,542x = 259,837 × 259,837
  4. Step 4: Simplify right side
    110,542x = 67,515,266,569
  5. Step 5: Solve for x
    x = 67,515,266,569/110,542
  6. Step 6: Final answer
    x = 610,765.74

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.