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Finding the Third Proportional to 111,694.50 and 226,629

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Solution

The third proportional to 111,694.50 and 226,629 is: 459,831.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,694.50 : 226,629 = 226,629 : x
  2. Step 2: Convert to fraction form
    111,694.50/226,629 = 226,629/x
  3. Step 3: Cross multiply
    111,694.50x = 226,629 × 226,629
  4. Step 4: Simplify right side
    111,694.50x = 51,360,703,641
  5. Step 5: Solve for x
    x = 51,360,703,641/111,694.50
  6. Step 6: Final answer
    x = 459,831.98

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.