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Finding the Third Proportional to 111,318 and 226,524

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Solution

The third proportional to 111,318 and 226,524 is: 460,959.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,318 : 226,524 = 226,524 : x
  2. Step 2: Convert to fraction form
    111,318/226,524 = 226,524/x
  3. Step 3: Cross multiply
    111,318x = 226,524 × 226,524
  4. Step 4: Simplify right side
    111,318x = 51,313,122,576
  5. Step 5: Solve for x
    x = 51,313,122,576/111,318
  6. Step 6: Final answer
    x = 460,959.80

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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.