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Finding the Third Proportional to 110,981 and 244,582

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Solution

The third proportional to 110,981 and 244,582 is: 539,014.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,981 : 244,582 = 244,582 : x
  2. Step 2: Convert to fraction form
    110,981/244,582 = 244,582/x
  3. Step 3: Cross multiply
    110,981x = 244,582 × 244,582
  4. Step 4: Simplify right side
    110,981x = 59,820,354,724
  5. Step 5: Solve for x
    x = 59,820,354,724/110,981
  6. Step 6: Final answer
    x = 539,014.38

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