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Finding the Third Proportional to 165,568 and 357,593

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Solution

The third proportional to 165,568 and 357,593 is: 772,327.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,568 : 357,593 = 357,593 : x
  2. Step 2: Convert to fraction form
    165,568/357,593 = 357,593/x
  3. Step 3: Cross multiply
    165,568x = 357,593 × 357,593
  4. Step 4: Simplify right side
    165,568x = 127,872,753,649
  5. Step 5: Solve for x
    x = 127,872,753,649/165,568
  6. Step 6: Final answer
    x = 772,327.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.