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Finding the Third Proportional to 111,269 and 230,314

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Solution

The third proportional to 111,269 and 230,314 is: 476,723.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,269 : 230,314 = 230,314 : x
  2. Step 2: Convert to fraction form
    111,269/230,314 = 230,314/x
  3. Step 3: Cross multiply
    111,269x = 230,314 × 230,314
  4. Step 4: Simplify right side
    111,269x = 53,044,538,596
  5. Step 5: Solve for x
    x = 53,044,538,596/111,269
  6. Step 6: Final answer
    x = 476,723.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.