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Finding the Third Proportional to 110,733 and 259,962

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Solution

The third proportional to 110,733 and 259,962 is: 610,299.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,733 : 259,962 = 259,962 : x
  2. Step 2: Convert to fraction form
    110,733/259,962 = 259,962/x
  3. Step 3: Cross multiply
    110,733x = 259,962 × 259,962
  4. Step 4: Simplify right side
    110,733x = 67,580,241,444
  5. Step 5: Solve for x
    x = 67,580,241,444/110,733
  6. Step 6: Final answer
    x = 610,299.02

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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.