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Finding the Third Proportional to 146,212 and 220,912

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Solution

The third proportional to 146,212 and 220,912 is: 333,776.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,212 : 220,912 = 220,912 : x
  2. Step 2: Convert to fraction form
    146,212/220,912 = 220,912/x
  3. Step 3: Cross multiply
    146,212x = 220,912 × 220,912
  4. Step 4: Simplify right side
    146,212x = 48,802,111,744
  5. Step 5: Solve for x
    x = 48,802,111,744/146,212
  6. Step 6: Final answer
    x = 333,776.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.