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Finding the Third Proportional to 135,085 and 293,954

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Solution

The third proportional to 135,085 and 293,954 is: 639,663.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,085 : 293,954 = 293,954 : x
  2. Step 2: Convert to fraction form
    135,085/293,954 = 293,954/x
  3. Step 3: Cross multiply
    135,085x = 293,954 × 293,954
  4. Step 4: Simplify right side
    135,085x = 86,408,954,116
  5. Step 5: Solve for x
    x = 86,408,954,116/135,085
  6. Step 6: Final answer
    x = 639,663.58

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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.