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Finding the Third Proportional to 214,008 and 320,344

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Solution

The third proportional to 214,008 and 320,344 is: 479,516.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,008 : 320,344 = 320,344 : x
  2. Step 2: Convert to fraction form
    214,008/320,344 = 320,344/x
  3. Step 3: Cross multiply
    214,008x = 320,344 × 320,344
  4. Step 4: Simplify right side
    214,008x = 102,620,278,336
  5. Step 5: Solve for x
    x = 102,620,278,336/214,008
  6. Step 6: Final answer
    x = 479,516.09

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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.