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Finding the Third Proportional to 212,906 and 296,027

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Solution

The third proportional to 212,906 and 296,027 is: 411,599.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,906 : 296,027 = 296,027 : x
  2. Step 2: Convert to fraction form
    212,906/296,027 = 296,027/x
  3. Step 3: Cross multiply
    212,906x = 296,027 × 296,027
  4. Step 4: Simplify right side
    212,906x = 87,631,984,729
  5. Step 5: Solve for x
    x = 87,631,984,729/212,906
  6. Step 6: Final answer
    x = 411,599.41

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.