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Finding the Third Proportional to 188,766 and 280,593

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Solution

The third proportional to 188,766 and 280,593 is: 417,090.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,766 : 280,593 = 280,593 : x
  2. Step 2: Convert to fraction form
    188,766/280,593 = 280,593/x
  3. Step 3: Cross multiply
    188,766x = 280,593 × 280,593
  4. Step 4: Simplify right side
    188,766x = 78,732,431,649
  5. Step 5: Solve for x
    x = 78,732,431,649/188,766
  6. Step 6: Final answer
    x = 417,090.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.