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Finding the Third Proportional to 180,205 and 396,382.25

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Solution

The third proportional to 180,205 and 396,382.25 is: 871,889.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,205 : 396,382.25 = 396,382.25 : x
  2. Step 2: Convert to fraction form
    180,205/396,382.25 = 396,382.25/x
  3. Step 3: Cross multiply
    180,205x = 396,382.25 × 396,382.25
  4. Step 4: Simplify right side
    180,205x = 157,118,888,115.06
  5. Step 5: Solve for x
    x = 157,118,888,115.06/180,205
  6. Step 6: Final answer
    x = 871,889.73

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.