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Finding the Third Proportional to 214,007.06 and 320,425.88

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Solution

The third proportional to 214,007.06 and 320,425.88 is: 479,763.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,007.06 : 320,425.88 = 320,425.88 : x
  2. Step 2: Convert to fraction form
    214,007.06/320,425.88 = 320,425.88/x
  3. Step 3: Cross multiply
    214,007.06x = 320,425.88 × 320,425.88
  4. Step 4: Simplify right side
    214,007.06x = 102,672,741,369.52
  5. Step 5: Solve for x
    x = 102,672,741,369.52/214,007.06
  6. Step 6: Final answer
    x = 479,763.33

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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.