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Finding the Third Proportional to 181,112.25 and 393,336.25

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Solution

The third proportional to 181,112.25 and 393,336.25 is: 854,240.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,112.25 : 393,336.25 = 393,336.25 : x
  2. Step 2: Convert to fraction form
    181,112.25/393,336.25 = 393,336.25/x
  3. Step 3: Cross multiply
    181,112.25x = 393,336.25 × 393,336.25
  4. Step 4: Simplify right side
    181,112.25x = 154,713,405,564.06
  5. Step 5: Solve for x
    x = 154,713,405,564.06/181,112.25
  6. Step 6: Final answer
    x = 854,240.43

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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.