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Finding the Third Proportional to 263,123.50 and 366,596.50

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Solution

The third proportional to 263,123.50 and 366,596.50 is: 510,760.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,123.50 : 366,596.50 = 366,596.50 : x
  2. Step 2: Convert to fraction form
    263,123.50/366,596.50 = 366,596.50/x
  3. Step 3: Cross multiply
    263,123.50x = 366,596.50 × 366,596.50
  4. Step 4: Simplify right side
    263,123.50x = 134,392,993,812.25
  5. Step 5: Solve for x
    x = 134,392,993,812.25/263,123.50
  6. Step 6: Final answer
    x = 510,760.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.