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Finding the Third Proportional to 143,017 and 214,249.50

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Solution

The third proportional to 143,017 and 214,249.50 is: 320,960.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,017 : 214,249.50 = 214,249.50 : x
  2. Step 2: Convert to fraction form
    143,017/214,249.50 = 214,249.50/x
  3. Step 3: Cross multiply
    143,017x = 214,249.50 × 214,249.50
  4. Step 4: Simplify right side
    143,017x = 45,902,848,250.25
  5. Step 5: Solve for x
    x = 45,902,848,250.25/143,017
  6. Step 6: Final answer
    x = 320,960.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.