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Finding the Third Proportional to 213,714 and 332,238

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Solution

The third proportional to 213,714 and 332,238 is: 516,494.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,714 : 332,238 = 332,238 : x
  2. Step 2: Convert to fraction form
    213,714/332,238 = 332,238/x
  3. Step 3: Cross multiply
    213,714x = 332,238 × 332,238
  4. Step 4: Simplify right side
    213,714x = 110,382,088,644
  5. Step 5: Solve for x
    x = 110,382,088,644/213,714
  6. Step 6: Final answer
    x = 516,494.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.