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Finding the Third Proportional to 211,714 and 329,235

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Solution

The third proportional to 211,714 and 329,235 is: 511,991.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,714 : 329,235 = 329,235 : x
  2. Step 2: Convert to fraction form
    211,714/329,235 = 329,235/x
  3. Step 3: Cross multiply
    211,714x = 329,235 × 329,235
  4. Step 4: Simplify right side
    211,714x = 108,395,685,225
  5. Step 5: Solve for x
    x = 108,395,685,225/211,714
  6. Step 6: Final answer
    x = 511,991.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.