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Finding the Third Proportional to 165,852 and 389,836

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Solution

The third proportional to 165,852 and 389,836 is: 916,311.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,852 : 389,836 = 389,836 : x
  2. Step 2: Convert to fraction form
    165,852/389,836 = 389,836/x
  3. Step 3: Cross multiply
    165,852x = 389,836 × 389,836
  4. Step 4: Simplify right side
    165,852x = 151,972,106,896
  5. Step 5: Solve for x
    x = 151,972,106,896/165,852
  6. Step 6: Final answer
    x = 916,311.57

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.