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Finding the Third Proportional to 165,759 and 361,879

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Solution

The third proportional to 165,759 and 361,879 is: 790,041.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,759 : 361,879 = 361,879 : x
  2. Step 2: Convert to fraction form
    165,759/361,879 = 361,879/x
  3. Step 3: Cross multiply
    165,759x = 361,879 × 361,879
  4. Step 4: Simplify right side
    165,759x = 130,956,410,641
  5. Step 5: Solve for x
    x = 130,956,410,641/165,759
  6. Step 6: Final answer
    x = 790,041.03

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Why These Related Problems?

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