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Finding the Third Proportional to 164,530 and 248,009

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Solution

The third proportional to 164,530 and 248,009 is: 373,843.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,530 : 248,009 = 248,009 : x
  2. Step 2: Convert to fraction form
    164,530/248,009 = 248,009/x
  3. Step 3: Cross multiply
    164,530x = 248,009 × 248,009
  4. Step 4: Simplify right side
    164,530x = 61,508,464,081
  5. Step 5: Solve for x
    x = 61,508,464,081/164,530
  6. Step 6: Final answer
    x = 373,843.46

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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.