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Finding the Third Proportional to 215,252 and 300,934

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Solution

The third proportional to 215,252 and 300,934 is: 420,722.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,252 : 300,934 = 300,934 : x
  2. Step 2: Convert to fraction form
    215,252/300,934 = 300,934/x
  3. Step 3: Cross multiply
    215,252x = 300,934 × 300,934
  4. Step 4: Simplify right side
    215,252x = 90,561,272,356
  5. Step 5: Solve for x
    x = 90,561,272,356/215,252
  6. Step 6: Final answer
    x = 420,722.09

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.