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Finding the Third Proportional to 146,593.13 and 321,237.56

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Solution

The third proportional to 146,593.13 and 321,237.56 is: 703,945.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,593.13 : 321,237.56 = 321,237.56 : x
  2. Step 2: Convert to fraction form
    146,593.13/321,237.56 = 321,237.56/x
  3. Step 3: Cross multiply
    146,593.13x = 321,237.56 × 321,237.56
  4. Step 4: Simplify right side
    146,593.13x = 103,193,571,560.94
  5. Step 5: Solve for x
    x = 103,193,571,560.94/146,593.13
  6. Step 6: Final answer
    x = 703,945.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.