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Finding the Third Proportional to 135,086 and 293,956

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Solution

The third proportional to 135,086 and 293,956 is: 639,667.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,086 : 293,956 = 293,956 : x
  2. Step 2: Convert to fraction form
    135,086/293,956 = 293,956/x
  3. Step 3: Cross multiply
    135,086x = 293,956 × 293,956
  4. Step 4: Simplify right side
    135,086x = 86,410,129,936
  5. Step 5: Solve for x
    x = 86,410,129,936/135,086
  6. Step 6: Final answer
    x = 639,667.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.