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Finding the Third Proportional to 183,530 and 404,311

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Solution

The third proportional to 183,530 and 404,311 is: 890,684.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,530 : 404,311 = 404,311 : x
  2. Step 2: Convert to fraction form
    183,530/404,311 = 404,311/x
  3. Step 3: Cross multiply
    183,530x = 404,311 × 404,311
  4. Step 4: Simplify right side
    183,530x = 163,467,384,721
  5. Step 5: Solve for x
    x = 163,467,384,721/183,530
  6. Step 6: Final answer
    x = 890,684.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.