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Finding the Third Proportional to 188,864 and 408,704

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Solution

The third proportional to 188,864 and 408,704 is: 884,440.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,864 : 408,704 = 408,704 : x
  2. Step 2: Convert to fraction form
    188,864/408,704 = 408,704/x
  3. Step 3: Cross multiply
    188,864x = 408,704 × 408,704
  4. Step 4: Simplify right side
    188,864x = 167,038,959,616
  5. Step 5: Solve for x
    x = 167,038,959,616/188,864
  6. Step 6: Final answer
    x = 884,440.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.