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Finding the Third Proportional to 188,553 and 396,495

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Solution

The third proportional to 188,553 and 396,495 is: 833,761.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,553 : 396,495 = 396,495 : x
  2. Step 2: Convert to fraction form
    188,553/396,495 = 396,495/x
  3. Step 3: Cross multiply
    188,553x = 396,495 × 396,495
  4. Step 4: Simplify right side
    188,553x = 157,208,285,025
  5. Step 5: Solve for x
    x = 157,208,285,025/188,553
  6. Step 6: Final answer
    x = 833,761.78

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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.