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Finding the Third Proportional to 74,768.06 and 164,708.44

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Solution

The third proportional to 74,768.06 and 164,708.44 is: 362,840.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,768.06 : 164,708.44 = 164,708.44 : x
  2. Step 2: Convert to fraction form
    74,768.06/164,708.44 = 164,708.44/x
  3. Step 3: Cross multiply
    74,768.06x = 164,708.44 × 164,708.44
  4. Step 4: Simplify right side
    74,768.06x = 27,128,869,383.69
  5. Step 5: Solve for x
    x = 27,128,869,383.69/74,768.06
  6. Step 6: Final answer
    x = 362,840.34

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.