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Finding the Third Proportional to 214,514 and 321,357

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Solution

The third proportional to 214,514 and 321,357 is: 481,415.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,514 : 321,357 = 321,357 : x
  2. Step 2: Convert to fraction form
    214,514/321,357 = 321,357/x
  3. Step 3: Cross multiply
    214,514x = 321,357 × 321,357
  4. Step 4: Simplify right side
    214,514x = 103,270,321,449
  5. Step 5: Solve for x
    x = 103,270,321,449/214,514
  6. Step 6: Final answer
    x = 481,415.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.