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Finding the Third Proportional to 168,268 and 362,768

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Solution

The third proportional to 168,268 and 362,768 is: 782,089.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,268 : 362,768 = 362,768 : x
  2. Step 2: Convert to fraction form
    168,268/362,768 = 362,768/x
  3. Step 3: Cross multiply
    168,268x = 362,768 × 362,768
  4. Step 4: Simplify right side
    168,268x = 131,600,621,824
  5. Step 5: Solve for x
    x = 131,600,621,824/168,268
  6. Step 6: Final answer
    x = 782,089.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.