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Finding the Third Proportional to 106,328 and 163,218

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Solution

The third proportional to 106,328 and 163,218 is: 250,546.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,328 : 163,218 = 163,218 : x
  2. Step 2: Convert to fraction form
    106,328/163,218 = 163,218/x
  3. Step 3: Cross multiply
    106,328x = 163,218 × 163,218
  4. Step 4: Simplify right side
    106,328x = 26,640,115,524
  5. Step 5: Solve for x
    x = 26,640,115,524/106,328
  6. Step 6: Final answer
    x = 250,546.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.