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Finding the Third Proportional to 179,809.25 and 259,003.75

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Solution

The third proportional to 179,809.25 and 259,003.75 is: 373,078.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,809.25 : 259,003.75 = 259,003.75 : x
  2. Step 2: Convert to fraction form
    179,809.25/259,003.75 = 259,003.75/x
  3. Step 3: Cross multiply
    179,809.25x = 259,003.75 × 259,003.75
  4. Step 4: Simplify right side
    179,809.25x = 67,082,942,514.06
  5. Step 5: Solve for x
    x = 67,082,942,514.06/179,809.25
  6. Step 6: Final answer
    x = 373,078.37

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.