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Finding the Third Proportional to 175,515.75 and 414,183.75

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Solution

The third proportional to 175,515.75 and 414,183.75 is: 977,394.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,515.75 : 414,183.75 = 414,183.75 : x
  2. Step 2: Convert to fraction form
    175,515.75/414,183.75 = 414,183.75/x
  3. Step 3: Cross multiply
    175,515.75x = 414,183.75 × 414,183.75
  4. Step 4: Simplify right side
    175,515.75x = 171,548,178,764.06
  5. Step 5: Solve for x
    x = 171,548,178,764.06/175,515.75
  6. Step 6: Final answer
    x = 977,394.79

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.