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Finding the Third Proportional to 165,796 and 362,696

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Solution

The third proportional to 165,796 and 362,696 is: 793,435.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,796 : 362,696 = 362,696 : x
  2. Step 2: Convert to fraction form
    165,796/362,696 = 362,696/x
  3. Step 3: Cross multiply
    165,796x = 362,696 × 362,696
  4. Step 4: Simplify right side
    165,796x = 131,548,388,416
  5. Step 5: Solve for x
    x = 131,548,388,416/165,796
  6. Step 6: Final answer
    x = 793,435.24

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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.