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Finding the Third Proportional to 188,508 and 398,832

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Solution

The third proportional to 188,508 and 398,832 is: 843,820.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,508 : 398,832 = 398,832 : x
  2. Step 2: Convert to fraction form
    188,508/398,832 = 398,832/x
  3. Step 3: Cross multiply
    188,508x = 398,832 × 398,832
  4. Step 4: Simplify right side
    188,508x = 159,066,964,224
  5. Step 5: Solve for x
    x = 159,066,964,224/188,508
  6. Step 6: Final answer
    x = 843,820.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.