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Finding the Third Proportional to 164,651.06 and 248,273.44

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Solution

The third proportional to 164,651.06 and 248,273.44 is: 374,365.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,651.06 : 248,273.44 = 248,273.44 : x
  2. Step 2: Convert to fraction form
    164,651.06/248,273.44 = 248,273.44/x
  3. Step 3: Cross multiply
    164,651.06x = 248,273.44 × 248,273.44
  4. Step 4: Simplify right side
    164,651.06x = 61,639,699,768.07
  5. Step 5: Solve for x
    x = 61,639,699,768.07/164,651.06
  6. Step 6: Final answer
    x = 374,365.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.