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Finding the Third Proportional to 110,982 and 244,585

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Solution

The third proportional to 110,982 and 244,585 is: 539,022.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,982 : 244,585 = 244,585 : x
  2. Step 2: Convert to fraction form
    110,982/244,585 = 244,585/x
  3. Step 3: Cross multiply
    110,982x = 244,585 × 244,585
  4. Step 4: Simplify right side
    110,982x = 59,821,822,225
  5. Step 5: Solve for x
    x = 59,821,822,225/110,982
  6. Step 6: Final answer
    x = 539,022.74

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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.