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Finding the Third Proportional to 213,924.48 and 320,220.37

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Solution

The third proportional to 213,924.48 and 320,220.37 is: 479,333.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,924.48 : 320,220.37 = 320,220.37 : x
  2. Step 2: Convert to fraction form
    213,924.48/320,220.37 = 320,220.37/x
  3. Step 3: Cross multiply
    213,924.48x = 320,220.37 × 320,220.37
  4. Step 4: Simplify right side
    213,924.48x = 102,541,084,812.56
  5. Step 5: Solve for x
    x = 102,541,084,812.56/213,924.48
  6. Step 6: Final answer
    x = 479,333.10

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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.