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Finding the Third Proportional to 165,027 and 360,966

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Solution

The third proportional to 165,027 and 360,966 is: 789,546.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,027 : 360,966 = 360,966 : x
  2. Step 2: Convert to fraction form
    165,027/360,966 = 360,966/x
  3. Step 3: Cross multiply
    165,027x = 360,966 × 360,966
  4. Step 4: Simplify right side
    165,027x = 130,296,453,156
  5. Step 5: Solve for x
    x = 130,296,453,156/165,027
  6. Step 6: Final answer
    x = 789,546.28

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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.