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Finding the Third Proportional to 165,738 and 362,824

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Solution

The third proportional to 165,738 and 362,824 is: 794,273.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,738 : 362,824 = 362,824 : x
  2. Step 2: Convert to fraction form
    165,738/362,824 = 362,824/x
  3. Step 3: Cross multiply
    165,738x = 362,824 × 362,824
  4. Step 4: Simplify right side
    165,738x = 131,641,254,976
  5. Step 5: Solve for x
    x = 131,641,254,976/165,738
  6. Step 6: Final answer
    x = 794,273.22

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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.