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Finding the Third Proportional to 164,648 and 354,696

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Solution

The third proportional to 164,648 and 354,696 is: 764,110.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,648 : 354,696 = 354,696 : x
  2. Step 2: Convert to fraction form
    164,648/354,696 = 354,696/x
  3. Step 3: Cross multiply
    164,648x = 354,696 × 354,696
  4. Step 4: Simplify right side
    164,648x = 125,809,252,416
  5. Step 5: Solve for x
    x = 125,809,252,416/164,648
  6. Step 6: Final answer
    x = 764,110.42

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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.