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Finding the Third Proportional to 111,933 and 241,909

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Solution

The third proportional to 111,933 and 241,909 is: 522,812.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,933 : 241,909 = 241,909 : x
  2. Step 2: Convert to fraction form
    111,933/241,909 = 241,909/x
  3. Step 3: Cross multiply
    111,933x = 241,909 × 241,909
  4. Step 4: Simplify right side
    111,933x = 58,519,964,281
  5. Step 5: Solve for x
    x = 58,519,964,281/111,933
  6. Step 6: Final answer
    x = 522,812.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.