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Finding the Third Proportional to 267,583.50 and 366,923.63

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Solution

The third proportional to 267,583.50 and 366,923.63 is: 503,143.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,583.50 : 366,923.63 = 366,923.63 : x
  2. Step 2: Convert to fraction form
    267,583.50/366,923.63 = 366,923.63/x
  3. Step 3: Cross multiply
    267,583.50x = 366,923.63 × 366,923.63
  4. Step 4: Simplify right side
    267,583.50x = 134,632,946,583.14
  5. Step 5: Solve for x
    x = 134,632,946,583.14/267,583.50
  6. Step 6: Final answer
    x = 503,143.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.