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Finding the Third Proportional to 235,183.50 and 512,325

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Solution

The third proportional to 235,183.50 and 512,325 is: 1,116,051.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,183.50 : 512,325 = 512,325 : x
  2. Step 2: Convert to fraction form
    235,183.50/512,325 = 512,325/x
  3. Step 3: Cross multiply
    235,183.50x = 512,325 × 512,325
  4. Step 4: Simplify right side
    235,183.50x = 262,476,905,625
  5. Step 5: Solve for x
    x = 262,476,905,625/235,183.50
  6. Step 6: Final answer
    x = 1,116,051.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.