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Finding the Third Proportional to 140,676 and 303,544

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Solution

The third proportional to 140,676 and 303,544 is: 654,972.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,676 : 303,544 = 303,544 : x
  2. Step 2: Convert to fraction form
    140,676/303,544 = 303,544/x
  3. Step 3: Cross multiply
    140,676x = 303,544 × 303,544
  4. Step 4: Simplify right side
    140,676x = 92,138,959,936
  5. Step 5: Solve for x
    x = 92,138,959,936/140,676
  6. Step 6: Final answer
    x = 654,972.84

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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.