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Finding the Third Proportional to 194,488.50 and 262,183.50

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Solution

The third proportional to 194,488.50 and 262,183.50 is: 353,440.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,488.50 : 262,183.50 = 262,183.50 : x
  2. Step 2: Convert to fraction form
    194,488.50/262,183.50 = 262,183.50/x
  3. Step 3: Cross multiply
    194,488.50x = 262,183.50 × 262,183.50
  4. Step 4: Simplify right side
    194,488.50x = 68,740,187,672.25
  5. Step 5: Solve for x
    x = 68,740,187,672.25/194,488.50
  6. Step 6: Final answer
    x = 353,440.89

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.