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Finding the Third Proportional to 188,768 and 414,836

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Solution

The third proportional to 188,768 and 414,836 is: 911,642.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,768 : 414,836 = 414,836 : x
  2. Step 2: Convert to fraction form
    188,768/414,836 = 414,836/x
  3. Step 3: Cross multiply
    188,768x = 414,836 × 414,836
  4. Step 4: Simplify right side
    188,768x = 172,088,906,896
  5. Step 5: Solve for x
    x = 172,088,906,896/188,768
  6. Step 6: Final answer
    x = 911,642.37

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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.