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Finding the Third Proportional to 168,431.91 and 247,723.31

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Solution

The third proportional to 168,431.91 and 247,723.31 is: 364,342.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,431.91 : 247,723.31 = 247,723.31 : x
  2. Step 2: Convert to fraction form
    168,431.91/247,723.31 = 247,723.31/x
  3. Step 3: Cross multiply
    168,431.91x = 247,723.31 × 247,723.31
  4. Step 4: Simplify right side
    168,431.91x = 61,366,839,555.97
  5. Step 5: Solve for x
    x = 61,366,839,555.97/168,431.91
  6. Step 6: Final answer
    x = 364,342.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.