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Finding the Third Proportional to 135,078 and 293,941

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Solution

The third proportional to 135,078 and 293,941 is: 639,640.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,078 : 293,941 = 293,941 : x
  2. Step 2: Convert to fraction form
    135,078/293,941 = 293,941/x
  3. Step 3: Cross multiply
    135,078x = 293,941 × 293,941
  4. Step 4: Simplify right side
    135,078x = 86,401,311,481
  5. Step 5: Solve for x
    x = 86,401,311,481/135,078
  6. Step 6: Final answer
    x = 639,640.14

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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.