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Finding the Third Proportional to 185,568 and 397,368

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Solution

The third proportional to 185,568 and 397,368 is: 850,908.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,568 : 397,368 = 397,368 : x
  2. Step 2: Convert to fraction form
    185,568/397,368 = 397,368/x
  3. Step 3: Cross multiply
    185,568x = 397,368 × 397,368
  4. Step 4: Simplify right side
    185,568x = 157,901,327,424
  5. Step 5: Solve for x
    x = 157,901,327,424/185,568
  6. Step 6: Final answer
    x = 850,908.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.