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Finding the Third Proportional to 181,107.56 and 393,378.19

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Solution

The third proportional to 181,107.56 and 393,378.19 is: 854,444.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,107.56 : 393,378.19 = 393,378.19 : x
  2. Step 2: Convert to fraction form
    181,107.56/393,378.19 = 393,378.19/x
  3. Step 3: Cross multiply
    181,107.56x = 393,378.19 × 393,378.19
  4. Step 4: Simplify right side
    181,107.56x = 154,746,398,400.79
  5. Step 5: Solve for x
    x = 154,746,398,400.79/181,107.56
  6. Step 6: Final answer
    x = 854,444.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.