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Finding the Third Proportional to 186,900.75 and 398,268

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Solution

The third proportional to 186,900.75 and 398,268 is: 848,671.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,900.75 : 398,268 = 398,268 : x
  2. Step 2: Convert to fraction form
    186,900.75/398,268 = 398,268/x
  3. Step 3: Cross multiply
    186,900.75x = 398,268 × 398,268
  4. Step 4: Simplify right side
    186,900.75x = 158,617,399,824
  5. Step 5: Solve for x
    x = 158,617,399,824/186,900.75
  6. Step 6: Final answer
    x = 848,671.82

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