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Finding the Third Proportional to 182,936 and 400,852

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Solution

The third proportional to 182,936 and 400,852 is: 878,352.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,936 : 400,852 = 400,852 : x
  2. Step 2: Convert to fraction form
    182,936/400,852 = 400,852/x
  3. Step 3: Cross multiply
    182,936x = 400,852 × 400,852
  4. Step 4: Simplify right side
    182,936x = 160,682,325,904
  5. Step 5: Solve for x
    x = 160,682,325,904/182,936
  6. Step 6: Final answer
    x = 878,352.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.