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Finding the Third Proportional to 250,700 and 388,377

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Solution

The third proportional to 250,700 and 388,377 is: 601,662.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,700 : 388,377 = 388,377 : x
  2. Step 2: Convert to fraction form
    250,700/388,377 = 388,377/x
  3. Step 3: Cross multiply
    250,700x = 388,377 × 388,377
  4. Step 4: Simplify right side
    250,700x = 150,836,694,129
  5. Step 5: Solve for x
    x = 150,836,694,129/250,700
  6. Step 6: Final answer
    x = 601,662.12

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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.