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Finding the Third Proportional to 212,899 and 296,016

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Solution

The third proportional to 212,899 and 296,016 is: 411,582.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,899 : 296,016 = 296,016 : x
  2. Step 2: Convert to fraction form
    212,899/296,016 = 296,016/x
  3. Step 3: Cross multiply
    212,899x = 296,016 × 296,016
  4. Step 4: Simplify right side
    212,899x = 87,625,472,256
  5. Step 5: Solve for x
    x = 87,625,472,256/212,899
  6. Step 6: Final answer
    x = 411,582.36

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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.