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Finding the Third Proportional to 220,039.50 and 330,546

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Solution

The third proportional to 220,039.50 and 330,546 is: 496,550.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,039.50 : 330,546 = 330,546 : x
  2. Step 2: Convert to fraction form
    220,039.50/330,546 = 330,546/x
  3. Step 3: Cross multiply
    220,039.50x = 330,546 × 330,546
  4. Step 4: Simplify right side
    220,039.50x = 109,260,658,116
  5. Step 5: Solve for x
    x = 109,260,658,116/220,039.50
  6. Step 6: Final answer
    x = 496,550.20

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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.