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Finding the Third Proportional to 188,845 and 407,852

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Solution

The third proportional to 188,845 and 407,852 is: 880,845.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,845 : 407,852 = 407,852 : x
  2. Step 2: Convert to fraction form
    188,845/407,852 = 407,852/x
  3. Step 3: Cross multiply
    188,845x = 407,852 × 407,852
  4. Step 4: Simplify right side
    188,845x = 166,343,253,904
  5. Step 5: Solve for x
    x = 166,343,253,904/188,845
  6. Step 6: Final answer
    x = 880,845.42

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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.