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Finding the Third Proportional to 177,992 and 248,844

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Solution

The third proportional to 177,992 and 248,844 is: 347,899.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,992 : 248,844 = 248,844 : x
  2. Step 2: Convert to fraction form
    177,992/248,844 = 248,844/x
  3. Step 3: Cross multiply
    177,992x = 248,844 × 248,844
  4. Step 4: Simplify right side
    177,992x = 61,923,336,336
  5. Step 5: Solve for x
    x = 61,923,336,336/177,992
  6. Step 6: Final answer
    x = 347,899.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.