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Finding the Third Proportional to 155,548.50 and 219,198

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Solution

The third proportional to 155,548.50 and 219,198 is: 308,892.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,548.50 : 219,198 = 219,198 : x
  2. Step 2: Convert to fraction form
    155,548.50/219,198 = 219,198/x
  3. Step 3: Cross multiply
    155,548.50x = 219,198 × 219,198
  4. Step 4: Simplify right side
    155,548.50x = 48,047,763,204
  5. Step 5: Solve for x
    x = 48,047,763,204/155,548.50
  6. Step 6: Final answer
    x = 308,892.49

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.