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Finding the Third Proportional to 111,104 and 239,668

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Solution

The third proportional to 111,104 and 239,668 is: 516,999.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,104 : 239,668 = 239,668 : x
  2. Step 2: Convert to fraction form
    111,104/239,668 = 239,668/x
  3. Step 3: Cross multiply
    111,104x = 239,668 × 239,668
  4. Step 4: Simplify right side
    111,104x = 57,440,750,224
  5. Step 5: Solve for x
    x = 57,440,750,224/111,104
  6. Step 6: Final answer
    x = 516,999.84

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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.