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Finding the Third Proportional to 189,067.50 and 398,790

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Solution

The third proportional to 189,067.50 and 398,790 is: 841,146.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,067.50 : 398,790 = 398,790 : x
  2. Step 2: Convert to fraction form
    189,067.50/398,790 = 398,790/x
  3. Step 3: Cross multiply
    189,067.50x = 398,790 × 398,790
  4. Step 4: Simplify right side
    189,067.50x = 159,033,464,100
  5. Step 5: Solve for x
    x = 159,033,464,100/189,067.50
  6. Step 6: Final answer
    x = 841,146.49

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.