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Finding the Third Proportional to 165,864 and 250,182

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Solution

The third proportional to 165,864 and 250,182 is: 377,363.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,864 : 250,182 = 250,182 : x
  2. Step 2: Convert to fraction form
    165,864/250,182 = 250,182/x
  3. Step 3: Cross multiply
    165,864x = 250,182 × 250,182
  4. Step 4: Simplify right side
    165,864x = 62,591,033,124
  5. Step 5: Solve for x
    x = 62,591,033,124/165,864
  6. Step 6: Final answer
    x = 377,363.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.