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Finding the Third Proportional to 214,735.50 and 485,147.25

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Solution

The third proportional to 214,735.50 and 485,147.25 is: 1,096,082.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,735.50 : 485,147.25 = 485,147.25 : x
  2. Step 2: Convert to fraction form
    214,735.50/485,147.25 = 485,147.25/x
  3. Step 3: Cross multiply
    214,735.50x = 485,147.25 × 485,147.25
  4. Step 4: Simplify right side
    214,735.50x = 235,367,854,182.56
  5. Step 5: Solve for x
    x = 235,367,854,182.56/214,735.50
  6. Step 6: Final answer
    x = 1,096,082.64

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These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.