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Finding the Third Proportional to 165,000 and 360,912

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Solution

The third proportional to 165,000 and 360,912 is: 789,439.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,000 : 360,912 = 360,912 : x
  2. Step 2: Convert to fraction form
    165,000/360,912 = 360,912/x
  3. Step 3: Cross multiply
    165,000x = 360,912 × 360,912
  4. Step 4: Simplify right side
    165,000x = 130,257,471,744
  5. Step 5: Solve for x
    x = 130,257,471,744/165,000
  6. Step 6: Final answer
    x = 789,439.22

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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.