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Finding the Third Proportional to 183,863 and 396,772

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Solution

The third proportional to 183,863 and 396,772 is: 856,224.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,863 : 396,772 = 396,772 : x
  2. Step 2: Convert to fraction form
    183,863/396,772 = 396,772/x
  3. Step 3: Cross multiply
    183,863x = 396,772 × 396,772
  4. Step 4: Simplify right side
    183,863x = 157,428,019,984
  5. Step 5: Solve for x
    x = 157,428,019,984/183,863
  6. Step 6: Final answer
    x = 856,224.58

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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.