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Finding the Third Proportional to 154,192.78 and 231,288.75

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Solution

The third proportional to 154,192.78 and 231,288.75 is: 346,932.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,192.78 : 231,288.75 = 231,288.75 : x
  2. Step 2: Convert to fraction form
    154,192.78/231,288.75 = 231,288.75/x
  3. Step 3: Cross multiply
    154,192.78x = 231,288.75 × 231,288.75
  4. Step 4: Simplify right side
    154,192.78x = 53,494,485,876.56
  5. Step 5: Solve for x
    x = 53,494,485,876.56/154,192.78
  6. Step 6: Final answer
    x = 346,932.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.