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Finding the Third Proportional to 220,936.50 and 337,824

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Solution

The third proportional to 220,936.50 and 337,824 is: 516,551.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,936.50 : 337,824 = 337,824 : x
  2. Step 2: Convert to fraction form
    220,936.50/337,824 = 337,824/x
  3. Step 3: Cross multiply
    220,936.50x = 337,824 × 337,824
  4. Step 4: Simplify right side
    220,936.50x = 114,125,054,976
  5. Step 5: Solve for x
    x = 114,125,054,976/220,936.50
  6. Step 6: Final answer
    x = 516,551.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.