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Finding the Third Proportional to 135,967 and 218,894

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Solution

The third proportional to 135,967 and 218,894 is: 352,398.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,967 : 218,894 = 218,894 : x
  2. Step 2: Convert to fraction form
    135,967/218,894 = 218,894/x
  3. Step 3: Cross multiply
    135,967x = 218,894 × 218,894
  4. Step 4: Simplify right side
    135,967x = 47,914,583,236
  5. Step 5: Solve for x
    x = 47,914,583,236/135,967
  6. Step 6: Final answer
    x = 352,398.62

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.