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Finding the Third Proportional to 188,976 and 284,319

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Solution

The third proportional to 188,976 and 284,319 is: 427,764.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,976 : 284,319 = 284,319 : x
  2. Step 2: Convert to fraction form
    188,976/284,319 = 284,319/x
  3. Step 3: Cross multiply
    188,976x = 284,319 × 284,319
  4. Step 4: Simplify right side
    188,976x = 80,837,293,761
  5. Step 5: Solve for x
    x = 80,837,293,761/188,976
  6. Step 6: Final answer
    x = 427,764.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.