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Finding the Third Proportional to 250,682 and 388,348

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Solution

The third proportional to 250,682 and 388,348 is: 601,615.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,682 : 388,348 = 388,348 : x
  2. Step 2: Convert to fraction form
    250,682/388,348 = 388,348/x
  3. Step 3: Cross multiply
    250,682x = 388,348 × 388,348
  4. Step 4: Simplify right side
    250,682x = 150,814,169,104
  5. Step 5: Solve for x
    x = 150,814,169,104/250,682
  6. Step 6: Final answer
    x = 601,615.47

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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.