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Finding the Third Proportional to 165,939 and 364,134

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Solution

The third proportional to 165,939 and 364,134 is: 799,050.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,939 : 364,134 = 364,134 : x
  2. Step 2: Convert to fraction form
    165,939/364,134 = 364,134/x
  3. Step 3: Cross multiply
    165,939x = 364,134 × 364,134
  4. Step 4: Simplify right side
    165,939x = 132,593,569,956
  5. Step 5: Solve for x
    x = 132,593,569,956/165,939
  6. Step 6: Final answer
    x = 799,050.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.