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Finding the Third Proportional to 154,326.94 and 231,901.31

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Solution

The third proportional to 154,326.94 and 231,901.31 is: 348,469.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,326.94 : 231,901.31 = 231,901.31 : x
  2. Step 2: Convert to fraction form
    154,326.94/231,901.31 = 231,901.31/x
  3. Step 3: Cross multiply
    154,326.94x = 231,901.31 × 231,901.31
  4. Step 4: Simplify right side
    154,326.94x = 53,778,218,739.22
  5. Step 5: Solve for x
    x = 53,778,218,739.22/154,326.94
  6. Step 6: Final answer
    x = 348,469.42

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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.