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Finding the Third Proportional to 169,568 and 368,296

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Solution

The third proportional to 169,568 and 368,296 is: 799,926.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,568 : 368,296 = 368,296 : x
  2. Step 2: Convert to fraction form
    169,568/368,296 = 368,296/x
  3. Step 3: Cross multiply
    169,568x = 368,296 × 368,296
  4. Step 4: Simplify right side
    169,568x = 135,641,943,616
  5. Step 5: Solve for x
    x = 135,641,943,616/169,568
  6. Step 6: Final answer
    x = 799,926.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.