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Finding the Third Proportional to 111,241 and 230,367

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Solution

The third proportional to 111,241 and 230,367 is: 477,062.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,241 : 230,367 = 230,367 : x
  2. Step 2: Convert to fraction form
    111,241/230,367 = 230,367/x
  3. Step 3: Cross multiply
    111,241x = 230,367 × 230,367
  4. Step 4: Simplify right side
    111,241x = 53,068,954,689
  5. Step 5: Solve for x
    x = 53,068,954,689/111,241
  6. Step 6: Final answer
    x = 477,062.91

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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.