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Finding the Third Proportional to 219,091.50 and 279,063

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Solution

The third proportional to 219,091.50 and 279,063 is: 355,450.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,091.50 : 279,063 = 279,063 : x
  2. Step 2: Convert to fraction form
    219,091.50/279,063 = 279,063/x
  3. Step 3: Cross multiply
    219,091.50x = 279,063 × 279,063
  4. Step 4: Simplify right side
    219,091.50x = 77,876,157,969
  5. Step 5: Solve for x
    x = 77,876,157,969/219,091.50
  6. Step 6: Final answer
    x = 355,450.38

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These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.