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Finding the Third Proportional to 140,198 and 300,079

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Solution

The third proportional to 140,198 and 300,079 is: 642,287.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,198 : 300,079 = 300,079 : x
  2. Step 2: Convert to fraction form
    140,198/300,079 = 300,079/x
  3. Step 3: Cross multiply
    140,198x = 300,079 × 300,079
  4. Step 4: Simplify right side
    140,198x = 90,047,406,241
  5. Step 5: Solve for x
    x = 90,047,406,241/140,198
  6. Step 6: Final answer
    x = 642,287.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.