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Finding the Third Proportional to 185,768 and 393,616

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Solution

The third proportional to 185,768 and 393,616 is: 834,016.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,768 : 393,616 = 393,616 : x
  2. Step 2: Convert to fraction form
    185,768/393,616 = 393,616/x
  3. Step 3: Cross multiply
    185,768x = 393,616 × 393,616
  4. Step 4: Simplify right side
    185,768x = 154,933,555,456
  5. Step 5: Solve for x
    x = 154,933,555,456/185,768
  6. Step 6: Final answer
    x = 834,016.38

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.