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Finding the Third Proportional to 94,828 and 218,974

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Solution

The third proportional to 94,828 and 218,974 is: 505,648.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,828 : 218,974 = 218,974 : x
  2. Step 2: Convert to fraction form
    94,828/218,974 = 218,974/x
  3. Step 3: Cross multiply
    94,828x = 218,974 × 218,974
  4. Step 4: Simplify right side
    94,828x = 47,949,612,676
  5. Step 5: Solve for x
    x = 47,949,612,676/94,828
  6. Step 6: Final answer
    x = 505,648.25

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.