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Finding the Third Proportional to 111,332 and 226,551

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Solution

The third proportional to 111,332 and 226,551 is: 461,011.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,332 : 226,551 = 226,551 : x
  2. Step 2: Convert to fraction form
    111,332/226,551 = 226,551/x
  3. Step 3: Cross multiply
    111,332x = 226,551 × 226,551
  4. Step 4: Simplify right side
    111,332x = 51,325,355,601
  5. Step 5: Solve for x
    x = 51,325,355,601/111,332
  6. Step 6: Final answer
    x = 461,011.71

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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.