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Finding the Third Proportional to 165,370 and 262,198

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Solution

The third proportional to 165,370 and 262,198 is: 415,721.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,370 : 262,198 = 262,198 : x
  2. Step 2: Convert to fraction form
    165,370/262,198 = 262,198/x
  3. Step 3: Cross multiply
    165,370x = 262,198 × 262,198
  4. Step 4: Simplify right side
    165,370x = 68,747,791,204
  5. Step 5: Solve for x
    x = 68,747,791,204/165,370
  6. Step 6: Final answer
    x = 415,721.06

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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.