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Finding the Third Proportional to 178,721.44 and 263,924.16

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Solution

The third proportional to 178,721.44 and 263,924.16 is: 389,745.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,721.44 : 263,924.16 = 263,924.16 : x
  2. Step 2: Convert to fraction form
    178,721.44/263,924.16 = 263,924.16/x
  3. Step 3: Cross multiply
    178,721.44x = 263,924.16 × 263,924.16
  4. Step 4: Simplify right side
    178,721.44x = 69,655,960,252.27
  5. Step 5: Solve for x
    x = 69,655,960,252.27/178,721.44
  6. Step 6: Final answer
    x = 389,745.97

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.