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Finding the Third Proportional to 250,696.27 and 388,351.97

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Solution

The third proportional to 250,696.27 and 388,351.97 is: 601,593.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,696.27 : 388,351.97 = 388,351.97 : x
  2. Step 2: Convert to fraction form
    250,696.27/388,351.97 = 388,351.97/x
  3. Step 3: Cross multiply
    250,696.27x = 388,351.97 × 388,351.97
  4. Step 4: Simplify right side
    250,696.27x = 150,817,251,632.00
  5. Step 5: Solve for x
    x = 150,817,251,632.00/250,696.27
  6. Step 6: Final answer
    x = 601,593.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.