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Finding the Third Proportional to 188,867 and 414,947

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Solution

The third proportional to 188,867 and 414,947 is: 911,652.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,867 : 414,947 = 414,947 : x
  2. Step 2: Convert to fraction form
    188,867/414,947 = 414,947/x
  3. Step 3: Cross multiply
    188,867x = 414,947 × 414,947
  4. Step 4: Simplify right side
    188,867x = 172,181,012,809
  5. Step 5: Solve for x
    x = 172,181,012,809/188,867
  6. Step 6: Final answer
    x = 911,652.18

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.