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Finding the Third Proportional to 135,660 and 294,674

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Solution

The third proportional to 135,660 and 294,674 is: 640,076.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,660 : 294,674 = 294,674 : x
  2. Step 2: Convert to fraction form
    135,660/294,674 = 294,674/x
  3. Step 3: Cross multiply
    135,660x = 294,674 × 294,674
  4. Step 4: Simplify right side
    135,660x = 86,832,766,276
  5. Step 5: Solve for x
    x = 86,832,766,276/135,660
  6. Step 6: Final answer
    x = 640,076.41

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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.