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Finding the Third Proportional to 211,714 and 300,936

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Solution

The third proportional to 211,714 and 300,936 is: 427,758.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,714 : 300,936 = 300,936 : x
  2. Step 2: Convert to fraction form
    211,714/300,936 = 300,936/x
  3. Step 3: Cross multiply
    211,714x = 300,936 × 300,936
  4. Step 4: Simplify right side
    211,714x = 90,562,476,096
  5. Step 5: Solve for x
    x = 90,562,476,096/211,714
  6. Step 6: Final answer
    x = 427,758.56

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.