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Finding the Third Proportional to 110,817 and 244,962

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Solution

The third proportional to 110,817 and 244,962 is: 541,490.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,817 : 244,962 = 244,962 : x
  2. Step 2: Convert to fraction form
    110,817/244,962 = 244,962/x
  3. Step 3: Cross multiply
    110,817x = 244,962 × 244,962
  4. Step 4: Simplify right side
    110,817x = 60,006,381,444
  5. Step 5: Solve for x
    x = 60,006,381,444/110,817
  6. Step 6: Final answer
    x = 541,490.76

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.