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Finding the Third Proportional to 194,736 and 398,688

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Solution

The third proportional to 194,736 and 398,688 is: 816,244.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,736 : 398,688 = 398,688 : x
  2. Step 2: Convert to fraction form
    194,736/398,688 = 398,688/x
  3. Step 3: Cross multiply
    194,736x = 398,688 × 398,688
  4. Step 4: Simplify right side
    194,736x = 158,952,121,344
  5. Step 5: Solve for x
    x = 158,952,121,344/194,736
  6. Step 6: Final answer
    x = 816,244.15

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.