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Finding the Third Proportional to 183,825 and 384,489

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Solution

The third proportional to 183,825 and 384,489 is: 804,198.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,825 : 384,489 = 384,489 : x
  2. Step 2: Convert to fraction form
    183,825/384,489 = 384,489/x
  3. Step 3: Cross multiply
    183,825x = 384,489 × 384,489
  4. Step 4: Simplify right side
    183,825x = 147,831,791,121
  5. Step 5: Solve for x
    x = 147,831,791,121/183,825
  6. Step 6: Final answer
    x = 804,198.51

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.