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Finding the Third Proportional to 168,975 and 356,958

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Solution

The third proportional to 168,975 and 356,958 is: 754,070.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,975 : 356,958 = 356,958 : x
  2. Step 2: Convert to fraction form
    168,975/356,958 = 356,958/x
  3. Step 3: Cross multiply
    168,975x = 356,958 × 356,958
  4. Step 4: Simplify right side
    168,975x = 127,419,013,764
  5. Step 5: Solve for x
    x = 127,419,013,764/168,975
  6. Step 6: Final answer
    x = 754,070.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.