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Finding the Third Proportional to 106,322 and 231,324

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Solution

The third proportional to 106,322 and 231,324 is: 503,289.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,322 : 231,324 = 231,324 : x
  2. Step 2: Convert to fraction form
    106,322/231,324 = 231,324/x
  3. Step 3: Cross multiply
    106,322x = 231,324 × 231,324
  4. Step 4: Simplify right side
    106,322x = 53,510,792,976
  5. Step 5: Solve for x
    x = 53,510,792,976/106,322
  6. Step 6: Final answer
    x = 503,289.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.