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Finding the Third Proportional to 159,094.13 and 222,540.75

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Solution

The third proportional to 159,094.13 and 222,540.75 is: 311,289.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,094.13 : 222,540.75 = 222,540.75 : x
  2. Step 2: Convert to fraction form
    159,094.13/222,540.75 = 222,540.75/x
  3. Step 3: Cross multiply
    159,094.13x = 222,540.75 × 222,540.75
  4. Step 4: Simplify right side
    159,094.13x = 49,524,385,410.56
  5. Step 5: Solve for x
    x = 49,524,385,410.56/159,094.13
  6. Step 6: Final answer
    x = 311,289.84

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.