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Finding the Third Proportional to 110,982 and 244,586

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Solution

The third proportional to 110,982 and 244,586 is: 539,027.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,982 : 244,586 = 244,586 : x
  2. Step 2: Convert to fraction form
    110,982/244,586 = 244,586/x
  3. Step 3: Cross multiply
    110,982x = 244,586 × 244,586
  4. Step 4: Simplify right side
    110,982x = 59,822,311,396
  5. Step 5: Solve for x
    x = 59,822,311,396/110,982
  6. Step 6: Final answer
    x = 539,027.15

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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.