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Finding the Third Proportional to 174,366 and 356,112

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Solution

The third proportional to 174,366 and 356,112 is: 727,296.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,366 : 356,112 = 356,112 : x
  2. Step 2: Convert to fraction form
    174,366/356,112 = 356,112/x
  3. Step 3: Cross multiply
    174,366x = 356,112 × 356,112
  4. Step 4: Simplify right side
    174,366x = 126,815,756,544
  5. Step 5: Solve for x
    x = 126,815,756,544/174,366
  6. Step 6: Final answer
    x = 727,296.36

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.