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Finding the Third Proportional to 111,268 and 247,413

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Solution

The third proportional to 111,268 and 247,413 is: 550,141.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,268 : 247,413 = 247,413 : x
  2. Step 2: Convert to fraction form
    111,268/247,413 = 247,413/x
  3. Step 3: Cross multiply
    111,268x = 247,413 × 247,413
  4. Step 4: Simplify right side
    111,268x = 61,213,192,569
  5. Step 5: Solve for x
    x = 61,213,192,569/111,268
  6. Step 6: Final answer
    x = 550,141.93

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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.