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Finding the Third Proportional to 188,193 and 403,674

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Solution

The third proportional to 188,193 and 403,674 is: 865,880.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,193 : 403,674 = 403,674 : x
  2. Step 2: Convert to fraction form
    188,193/403,674 = 403,674/x
  3. Step 3: Cross multiply
    188,193x = 403,674 × 403,674
  4. Step 4: Simplify right side
    188,193x = 162,952,698,276
  5. Step 5: Solve for x
    x = 162,952,698,276/188,193
  6. Step 6: Final answer
    x = 865,880.76

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.