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Finding the Third Proportional to 188,464 and 396,368

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Solution

The third proportional to 188,464 and 396,368 is: 833,621.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,464 : 396,368 = 396,368 : x
  2. Step 2: Convert to fraction form
    188,464/396,368 = 396,368/x
  3. Step 3: Cross multiply
    188,464x = 396,368 × 396,368
  4. Step 4: Simplify right side
    188,464x = 157,107,591,424
  5. Step 5: Solve for x
    x = 157,107,591,424/188,464
  6. Step 6: Final answer
    x = 833,621.23

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.