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Finding the Third Proportional to 183,624 and 389,296

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Solution

The third proportional to 183,624 and 389,296 is: 825,335.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,624 : 389,296 = 389,296 : x
  2. Step 2: Convert to fraction form
    183,624/389,296 = 389,296/x
  3. Step 3: Cross multiply
    183,624x = 389,296 × 389,296
  4. Step 4: Simplify right side
    183,624x = 151,551,375,616
  5. Step 5: Solve for x
    x = 151,551,375,616/183,624
  6. Step 6: Final answer
    x = 825,335.34

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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.