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Finding the Third Proportional to 163,933 and 356,296

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Solution

The third proportional to 163,933 and 356,296 is: 774,382.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,933 : 356,296 = 356,296 : x
  2. Step 2: Convert to fraction form
    163,933/356,296 = 356,296/x
  3. Step 3: Cross multiply
    163,933x = 356,296 × 356,296
  4. Step 4: Simplify right side
    163,933x = 126,946,839,616
  5. Step 5: Solve for x
    x = 126,946,839,616/163,933
  6. Step 6: Final answer
    x = 774,382.46

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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.