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Finding the Third Proportional to 164,647 and 353,838

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Solution

The third proportional to 164,647 and 353,838 is: 760,422.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,647 : 353,838 = 353,838 : x
  2. Step 2: Convert to fraction form
    164,647/353,838 = 353,838/x
  3. Step 3: Cross multiply
    164,647x = 353,838 × 353,838
  4. Step 4: Simplify right side
    164,647x = 125,201,330,244
  5. Step 5: Solve for x
    x = 125,201,330,244/164,647
  6. Step 6: Final answer
    x = 760,422.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.