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Finding the Third Proportional to 165,920.63 and 361,979.44

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Solution

The third proportional to 165,920.63 and 361,979.44 is: 789,709.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,920.63 : 361,979.44 = 361,979.44 : x
  2. Step 2: Convert to fraction form
    165,920.63/361,979.44 = 361,979.44/x
  3. Step 3: Cross multiply
    165,920.63x = 361,979.44 × 361,979.44
  4. Step 4: Simplify right side
    165,920.63x = 131,029,113,172.82
  5. Step 5: Solve for x
    x = 131,029,113,172.82/165,920.63
  6. Step 6: Final answer
    x = 789,709.62

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.