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Finding the Third Proportional to 107,328 and 170,198

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Solution

The third proportional to 107,328 and 170,198 is: 269,895.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,328 : 170,198 = 170,198 : x
  2. Step 2: Convert to fraction form
    107,328/170,198 = 170,198/x
  3. Step 3: Cross multiply
    107,328x = 170,198 × 170,198
  4. Step 4: Simplify right side
    107,328x = 28,967,359,204
  5. Step 5: Solve for x
    x = 28,967,359,204/107,328
  6. Step 6: Final answer
    x = 269,895.64

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.