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Finding the Third Proportional to 169,869 and 374,367

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Solution

The third proportional to 169,869 and 374,367 is: 825,051.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,869 : 374,367 = 374,367 : x
  2. Step 2: Convert to fraction form
    169,869/374,367 = 374,367/x
  3. Step 3: Cross multiply
    169,869x = 374,367 × 374,367
  4. Step 4: Simplify right side
    169,869x = 140,150,650,689
  5. Step 5: Solve for x
    x = 140,150,650,689/169,869
  6. Step 6: Final answer
    x = 825,051.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.