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Finding the Third Proportional to 183,236 and 396,084

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Solution

The third proportional to 183,236 and 396,084 is: 856,177.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,236 : 396,084 = 396,084 : x
  2. Step 2: Convert to fraction form
    183,236/396,084 = 396,084/x
  3. Step 3: Cross multiply
    183,236x = 396,084 × 396,084
  4. Step 4: Simplify right side
    183,236x = 156,882,535,056
  5. Step 5: Solve for x
    x = 156,882,535,056/183,236
  6. Step 6: Final answer
    x = 856,177.47

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.