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Finding the Third Proportional to 220,395.50 and 327,351.50

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Solution

The third proportional to 220,395.50 and 327,351.50 is: 486,212.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,395.50 : 327,351.50 = 327,351.50 : x
  2. Step 2: Convert to fraction form
    220,395.50/327,351.50 = 327,351.50/x
  3. Step 3: Cross multiply
    220,395.50x = 327,351.50 × 327,351.50
  4. Step 4: Simplify right side
    220,395.50x = 107,159,004,552.25
  5. Step 5: Solve for x
    x = 107,159,004,552.25/220,395.50
  6. Step 6: Final answer
    x = 486,212.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.