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Finding the Third Proportional to 135,105 and 293,993

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Solution

The third proportional to 135,105 and 293,993 is: 639,738.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,105 : 293,993 = 293,993 : x
  2. Step 2: Convert to fraction form
    135,105/293,993 = 293,993/x
  3. Step 3: Cross multiply
    135,105x = 293,993 × 293,993
  4. Step 4: Simplify right side
    135,105x = 86,431,884,049
  5. Step 5: Solve for x
    x = 86,431,884,049/135,105
  6. Step 6: Final answer
    x = 639,738.60

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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.