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Finding the Third Proportional to 146,821.36 and 320,608.13

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Solution

The third proportional to 146,821.36 and 320,608.13 is: 700,099.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,821.36 : 320,608.13 = 320,608.13 : x
  2. Step 2: Convert to fraction form
    146,821.36/320,608.13 = 320,608.13/x
  3. Step 3: Cross multiply
    146,821.36x = 320,608.13 × 320,608.13
  4. Step 4: Simplify right side
    146,821.36x = 102,789,569,816.02
  5. Step 5: Solve for x
    x = 102,789,569,816.02/146,821.36
  6. Step 6: Final answer
    x = 700,099.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.