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Finding the Third Proportional to 165,797 and 362,698

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Solution

The third proportional to 165,797 and 362,698 is: 793,439.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,797 : 362,698 = 362,698 : x
  2. Step 2: Convert to fraction form
    165,797/362,698 = 362,698/x
  3. Step 3: Cross multiply
    165,797x = 362,698 × 362,698
  4. Step 4: Simplify right side
    165,797x = 131,549,839,204
  5. Step 5: Solve for x
    x = 131,549,839,204/165,797
  6. Step 6: Final answer
    x = 793,439.20

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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.