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Finding the Third Proportional to 135,041 and 294,381

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Solution

The third proportional to 135,041 and 294,381 is: 641,732.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,041 : 294,381 = 294,381 : x
  2. Step 2: Convert to fraction form
    135,041/294,381 = 294,381/x
  3. Step 3: Cross multiply
    135,041x = 294,381 × 294,381
  4. Step 4: Simplify right side
    135,041x = 86,660,173,161
  5. Step 5: Solve for x
    x = 86,660,173,161/135,041
  6. Step 6: Final answer
    x = 641,732.31

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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.