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Finding the Third Proportional to 164,722 and 335,276

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Solution

The third proportional to 164,722 and 335,276 is: 682,422.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,722 : 335,276 = 335,276 : x
  2. Step 2: Convert to fraction form
    164,722/335,276 = 335,276/x
  3. Step 3: Cross multiply
    164,722x = 335,276 × 335,276
  4. Step 4: Simplify right side
    164,722x = 112,409,996,176
  5. Step 5: Solve for x
    x = 112,409,996,176/164,722
  6. Step 6: Final answer
    x = 682,422.48

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.