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Finding the Third Proportional to 183,674.88 and 264,556.22

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Solution

The third proportional to 183,674.88 and 264,556.22 is: 381,053.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,674.88 : 264,556.22 = 264,556.22 : x
  2. Step 2: Convert to fraction form
    183,674.88/264,556.22 = 264,556.22/x
  3. Step 3: Cross multiply
    183,674.88x = 264,556.22 × 264,556.22
  4. Step 4: Simplify right side
    183,674.88x = 69,989,992,879.30
  5. Step 5: Solve for x
    x = 69,989,992,879.30/183,674.88
  6. Step 6: Final answer
    x = 381,053.71

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.