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Finding the Third Proportional to 188,878 and 410,987

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Solution

The third proportional to 188,878 and 410,987 is: 894,282.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,878 : 410,987 = 410,987 : x
  2. Step 2: Convert to fraction form
    188,878/410,987 = 410,987/x
  3. Step 3: Cross multiply
    188,878x = 410,987 × 410,987
  4. Step 4: Simplify right side
    188,878x = 168,910,314,169
  5. Step 5: Solve for x
    x = 168,910,314,169/188,878
  6. Step 6: Final answer
    x = 894,282.63

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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.