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Finding the Third Proportional to 70,198 and 165,713

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Solution

The third proportional to 70,198 and 165,713 is: 391,190.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,198 : 165,713 = 165,713 : x
  2. Step 2: Convert to fraction form
    70,198/165,713 = 165,713/x
  3. Step 3: Cross multiply
    70,198x = 165,713 × 165,713
  4. Step 4: Simplify right side
    70,198x = 27,460,798,369
  5. Step 5: Solve for x
    x = 27,460,798,369/70,198
  6. Step 6: Final answer
    x = 391,190.61

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.