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Finding the Third Proportional to 213,926 and 320,223

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Solution

The third proportional to 213,926 and 320,223 is: 479,337.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,926 : 320,223 = 320,223 : x
  2. Step 2: Convert to fraction form
    213,926/320,223 = 320,223/x
  3. Step 3: Cross multiply
    213,926x = 320,223 × 320,223
  4. Step 4: Simplify right side
    213,926x = 102,542,769,729
  5. Step 5: Solve for x
    x = 102,542,769,729/213,926
  6. Step 6: Final answer
    x = 479,337.57

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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.