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Finding the Third Proportional to 111,874 and 244,570

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Solution

The third proportional to 111,874 and 244,570 is: 534,659.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,874 : 244,570 = 244,570 : x
  2. Step 2: Convert to fraction form
    111,874/244,570 = 244,570/x
  3. Step 3: Cross multiply
    111,874x = 244,570 × 244,570
  4. Step 4: Simplify right side
    111,874x = 59,814,484,900
  5. Step 5: Solve for x
    x = 59,814,484,900/111,874
  6. Step 6: Final answer
    x = 534,659.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.