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Finding the Third Proportional to 168,237.75 and 258,593.25

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Solution

The third proportional to 168,237.75 and 258,593.25 is: 397,476.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,237.75 : 258,593.25 = 258,593.25 : x
  2. Step 2: Convert to fraction form
    168,237.75/258,593.25 = 258,593.25/x
  3. Step 3: Cross multiply
    168,237.75x = 258,593.25 × 258,593.25
  4. Step 4: Simplify right side
    168,237.75x = 66,870,468,945.56
  5. Step 5: Solve for x
    x = 66,870,468,945.56/168,237.75
  6. Step 6: Final answer
    x = 397,476.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.