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Finding the Third Proportional to 179,928 and 384,772

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Solution

The third proportional to 179,928 and 384,772 is: 822,826.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,928 : 384,772 = 384,772 : x
  2. Step 2: Convert to fraction form
    179,928/384,772 = 384,772/x
  3. Step 3: Cross multiply
    179,928x = 384,772 × 384,772
  4. Step 4: Simplify right side
    179,928x = 148,049,491,984
  5. Step 5: Solve for x
    x = 148,049,491,984/179,928
  6. Step 6: Final answer
    x = 822,826.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.