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Finding the Third Proportional to 163,268 and 231,227

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Solution

The third proportional to 163,268 and 231,227 is: 327,473.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,268 : 231,227 = 231,227 : x
  2. Step 2: Convert to fraction form
    163,268/231,227 = 231,227/x
  3. Step 3: Cross multiply
    163,268x = 231,227 × 231,227
  4. Step 4: Simplify right side
    163,268x = 53,465,925,529
  5. Step 5: Solve for x
    x = 53,465,925,529/163,268
  6. Step 6: Final answer
    x = 327,473.39

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.