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Finding the Third Proportional to 135,671 and 294,694

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Solution

The third proportional to 135,671 and 294,694 is: 640,111.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,671 : 294,694 = 294,694 : x
  2. Step 2: Convert to fraction form
    135,671/294,694 = 294,694/x
  3. Step 3: Cross multiply
    135,671x = 294,694 × 294,694
  4. Step 4: Simplify right side
    135,671x = 86,844,553,636
  5. Step 5: Solve for x
    x = 86,844,553,636/135,671
  6. Step 6: Final answer
    x = 640,111.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.