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Finding the Third Proportional to 183,969 and 396,969.75

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Solution

The third proportional to 183,969 and 396,969.75 is: 856,584.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,969 : 396,969.75 = 396,969.75 : x
  2. Step 2: Convert to fraction form
    183,969/396,969.75 = 396,969.75/x
  3. Step 3: Cross multiply
    183,969x = 396,969.75 × 396,969.75
  4. Step 4: Simplify right side
    183,969x = 157,584,982,415.06
  5. Step 5: Solve for x
    x = 157,584,982,415.06/183,969
  6. Step 6: Final answer
    x = 856,584.44

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.