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Finding the Third Proportional to 255,942.56 and 550,522.69

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Solution

The third proportional to 255,942.56 and 550,522.69 is: 1,184,153.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,942.56 : 550,522.69 = 550,522.69 : x
  2. Step 2: Convert to fraction form
    255,942.56/550,522.69 = 550,522.69/x
  3. Step 3: Cross multiply
    255,942.56x = 550,522.69 × 550,522.69
  4. Step 4: Simplify right side
    255,942.56x = 303,075,229,452.22
  5. Step 5: Solve for x
    x = 303,075,229,452.22/255,942.56
  6. Step 6: Final answer
    x = 1,184,153.30

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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.