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Finding the Third Proportional to 190,093.50 and 408,267

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Solution

The third proportional to 190,093.50 and 408,267 is: 876,841.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,093.50 : 408,267 = 408,267 : x
  2. Step 2: Convert to fraction form
    190,093.50/408,267 = 408,267/x
  3. Step 3: Cross multiply
    190,093.50x = 408,267 × 408,267
  4. Step 4: Simplify right side
    190,093.50x = 166,681,943,289
  5. Step 5: Solve for x
    x = 166,681,943,289/190,093.50
  6. Step 6: Final answer
    x = 876,841.89

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.