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Finding the Third Proportional to 110,996 and 244,088

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Solution

The third proportional to 110,996 and 244,088 is: 536,766.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,996 : 244,088 = 244,088 : x
  2. Step 2: Convert to fraction form
    110,996/244,088 = 244,088/x
  3. Step 3: Cross multiply
    110,996x = 244,088 × 244,088
  4. Step 4: Simplify right side
    110,996x = 59,578,951,744
  5. Step 5: Solve for x
    x = 59,578,951,744/110,996
  6. Step 6: Final answer
    x = 536,766.66

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.