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Finding the Third Proportional to 150,732 and 214,249.50

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Solution

The third proportional to 150,732 and 214,249.50 is: 304,532.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,732 : 214,249.50 = 214,249.50 : x
  2. Step 2: Convert to fraction form
    150,732/214,249.50 = 214,249.50/x
  3. Step 3: Cross multiply
    150,732x = 214,249.50 × 214,249.50
  4. Step 4: Simplify right side
    150,732x = 45,902,848,250.25
  5. Step 5: Solve for x
    x = 45,902,848,250.25/150,732
  6. Step 6: Final answer
    x = 304,532.87

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.