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Finding the Third Proportional to 135,670 and 294,682

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Solution

The third proportional to 135,670 and 294,682 is: 640,063.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,670 : 294,682 = 294,682 : x
  2. Step 2: Convert to fraction form
    135,670/294,682 = 294,682/x
  3. Step 3: Cross multiply
    135,670x = 294,682 × 294,682
  4. Step 4: Simplify right side
    135,670x = 86,837,481,124
  5. Step 5: Solve for x
    x = 86,837,481,124/135,670
  6. Step 6: Final answer
    x = 640,063.99

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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.