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Finding the Third Proportional to 188,678 and 410,668

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Solution

The third proportional to 188,678 and 410,668 is: 893,841.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,678 : 410,668 = 410,668 : x
  2. Step 2: Convert to fraction form
    188,678/410,668 = 410,668/x
  3. Step 3: Cross multiply
    188,678x = 410,668 × 410,668
  4. Step 4: Simplify right side
    188,678x = 168,648,206,224
  5. Step 5: Solve for x
    x = 168,648,206,224/188,678
  6. Step 6: Final answer
    x = 893,841.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.