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Finding the Third Proportional to 250,680 and 388,345

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Solution

The third proportional to 250,680 and 388,345 is: 601,610.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,680 : 388,345 = 388,345 : x
  2. Step 2: Convert to fraction form
    250,680/388,345 = 388,345/x
  3. Step 3: Cross multiply
    250,680x = 388,345 × 388,345
  4. Step 4: Simplify right side
    250,680x = 150,811,839,025
  5. Step 5: Solve for x
    x = 150,811,839,025/250,680
  6. Step 6: Final answer
    x = 601,610.97

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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.