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Finding the Third Proportional to 186,446 and 397,800

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Solution

The third proportional to 186,446 and 397,800 is: 848,743.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,446 : 397,800 = 397,800 : x
  2. Step 2: Convert to fraction form
    186,446/397,800 = 397,800/x
  3. Step 3: Cross multiply
    186,446x = 397,800 × 397,800
  4. Step 4: Simplify right side
    186,446x = 158,244,840,000
  5. Step 5: Solve for x
    x = 158,244,840,000/186,446
  6. Step 6: Final answer
    x = 848,743.55

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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.