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Finding the Third Proportional to 150,812 and 331,430

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Solution

The third proportional to 150,812 and 331,430 is: 728,362.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,812 : 331,430 = 331,430 : x
  2. Step 2: Convert to fraction form
    150,812/331,430 = 331,430/x
  3. Step 3: Cross multiply
    150,812x = 331,430 × 331,430
  4. Step 4: Simplify right side
    150,812x = 109,845,844,900
  5. Step 5: Solve for x
    x = 109,845,844,900/150,812
  6. Step 6: Final answer
    x = 728,362.76

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.