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Finding the Third Proportional to 109,530 and 244,008

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Solution

The third proportional to 109,530 and 244,008 is: 543,594.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,530 : 244,008 = 244,008 : x
  2. Step 2: Convert to fraction form
    109,530/244,008 = 244,008/x
  3. Step 3: Cross multiply
    109,530x = 244,008 × 244,008
  4. Step 4: Simplify right side
    109,530x = 59,539,904,064
  5. Step 5: Solve for x
    x = 59,539,904,064/109,530
  6. Step 6: Final answer
    x = 543,594.49

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.