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Finding the Third Proportional to 165,924 and 364,104

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Solution

The third proportional to 165,924 and 364,104 is: 798,990.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,924 : 364,104 = 364,104 : x
  2. Step 2: Convert to fraction form
    165,924/364,104 = 364,104/x
  3. Step 3: Cross multiply
    165,924x = 364,104 × 364,104
  4. Step 4: Simplify right side
    165,924x = 132,571,722,816
  5. Step 5: Solve for x
    x = 132,571,722,816/165,924
  6. Step 6: Final answer
    x = 798,990.64

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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.