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Finding the Third Proportional to 212,933 and 296,067

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Solution

The third proportional to 212,933 and 296,067 is: 411,658.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,933 : 296,067 = 296,067 : x
  2. Step 2: Convert to fraction form
    212,933/296,067 = 296,067/x
  3. Step 3: Cross multiply
    212,933x = 296,067 × 296,067
  4. Step 4: Simplify right side
    212,933x = 87,655,668,489
  5. Step 5: Solve for x
    x = 87,655,668,489/212,933
  6. Step 6: Final answer
    x = 411,658.45

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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.