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Finding the Third Proportional to 131,467 and 283,954

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Solution

The third proportional to 131,467 and 283,954 is: 613,308.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,467 : 283,954 = 283,954 : x
  2. Step 2: Convert to fraction form
    131,467/283,954 = 283,954/x
  3. Step 3: Cross multiply
    131,467x = 283,954 × 283,954
  4. Step 4: Simplify right side
    131,467x = 80,629,874,116
  5. Step 5: Solve for x
    x = 80,629,874,116/131,467
  6. Step 6: Final answer
    x = 613,308.85

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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.