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Finding the Third Proportional to 165,493 and 354,314

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Solution

The third proportional to 165,493 and 354,314 is: 758,572.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,493 : 354,314 = 354,314 : x
  2. Step 2: Convert to fraction form
    165,493/354,314 = 354,314/x
  3. Step 3: Cross multiply
    165,493x = 354,314 × 354,314
  4. Step 4: Simplify right side
    165,493x = 125,538,410,596
  5. Step 5: Solve for x
    x = 125,538,410,596/165,493
  6. Step 6: Final answer
    x = 758,572.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.