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Finding the Third Proportional to 165,759 and 250,017

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Solution

The third proportional to 165,759 and 250,017 is: 377,104.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,759 : 250,017 = 250,017 : x
  2. Step 2: Convert to fraction form
    165,759/250,017 = 250,017/x
  3. Step 3: Cross multiply
    165,759x = 250,017 × 250,017
  4. Step 4: Simplify right side
    165,759x = 62,508,500,289
  5. Step 5: Solve for x
    x = 62,508,500,289/165,759
  6. Step 6: Final answer
    x = 377,104.71

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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.