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Finding the Third Proportional to 183,612 and 389,267

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Solution

The third proportional to 183,612 and 389,267 is: 825,266.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,612 : 389,267 = 389,267 : x
  2. Step 2: Convert to fraction form
    183,612/389,267 = 389,267/x
  3. Step 3: Cross multiply
    183,612x = 389,267 × 389,267
  4. Step 4: Simplify right side
    183,612x = 151,528,797,289
  5. Step 5: Solve for x
    x = 151,528,797,289/183,612
  6. Step 6: Final answer
    x = 825,266.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.