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Finding the Third Proportional to 150,732 and 331,056

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Solution

The third proportional to 150,732 and 331,056 is: 727,105.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,732 : 331,056 = 331,056 : x
  2. Step 2: Convert to fraction form
    150,732/331,056 = 331,056/x
  3. Step 3: Cross multiply
    150,732x = 331,056 × 331,056
  4. Step 4: Simplify right side
    150,732x = 109,598,075,136
  5. Step 5: Solve for x
    x = 109,598,075,136/150,732
  6. Step 6: Final answer
    x = 727,105.56

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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.