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Finding the Third Proportional to 194,886 and 419,852

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Solution

The third proportional to 194,886 and 419,852 is: 904,506.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,886 : 419,852 = 419,852 : x
  2. Step 2: Convert to fraction form
    194,886/419,852 = 419,852/x
  3. Step 3: Cross multiply
    194,886x = 419,852 × 419,852
  4. Step 4: Simplify right side
    194,886x = 176,275,701,904
  5. Step 5: Solve for x
    x = 176,275,701,904/194,886
  6. Step 6: Final answer
    x = 904,506.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.