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Finding the Third Proportional to 212,832 and 333,936

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Solution

The third proportional to 212,832 and 333,936 is: 523,949.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,832 : 333,936 = 333,936 : x
  2. Step 2: Convert to fraction form
    212,832/333,936 = 333,936/x
  3. Step 3: Cross multiply
    212,832x = 333,936 × 333,936
  4. Step 4: Simplify right side
    212,832x = 111,513,252,096
  5. Step 5: Solve for x
    x = 111,513,252,096/212,832
  6. Step 6: Final answer
    x = 523,949.65

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.