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Finding the Third Proportional to 111,268 and 247,414

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Solution

The third proportional to 111,268 and 247,414 is: 550,146.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,268 : 247,414 = 247,414 : x
  2. Step 2: Convert to fraction form
    111,268/247,414 = 247,414/x
  3. Step 3: Cross multiply
    111,268x = 247,414 × 247,414
  4. Step 4: Simplify right side
    111,268x = 61,213,687,396
  5. Step 5: Solve for x
    x = 61,213,687,396/111,268
  6. Step 6: Final answer
    x = 550,146.38

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.