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Finding the Third Proportional to 186,914 and 398,296

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Solution

The third proportional to 186,914 and 398,296 is: 848,730.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,914 : 398,296 = 398,296 : x
  2. Step 2: Convert to fraction form
    186,914/398,296 = 398,296/x
  3. Step 3: Cross multiply
    186,914x = 398,296 × 398,296
  4. Step 4: Simplify right side
    186,914x = 158,639,703,616
  5. Step 5: Solve for x
    x = 158,639,703,616/186,914
  6. Step 6: Final answer
    x = 848,730.99

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.