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Finding the Third Proportional to 165,751 and 362,847

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Solution

The third proportional to 165,751 and 362,847 is: 794,311.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,751 : 362,847 = 362,847 : x
  2. Step 2: Convert to fraction form
    165,751/362,847 = 362,847/x
  3. Step 3: Cross multiply
    165,751x = 362,847 × 362,847
  4. Step 4: Simplify right side
    165,751x = 131,657,945,409
  5. Step 5: Solve for x
    x = 131,657,945,409/165,751
  6. Step 6: Final answer
    x = 794,311.62

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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.