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Finding the Third Proportional to 165,558 and 350,838

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Solution

The third proportional to 165,558 and 350,838 is: 743,469.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,558 : 350,838 = 350,838 : x
  2. Step 2: Convert to fraction form
    165,558/350,838 = 350,838/x
  3. Step 3: Cross multiply
    165,558x = 350,838 × 350,838
  4. Step 4: Simplify right side
    165,558x = 123,087,302,244
  5. Step 5: Solve for x
    x = 123,087,302,244/165,558
  6. Step 6: Final answer
    x = 743,469.37

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.