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Finding the Third Proportional to 164,796 and 361,676

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Solution

The third proportional to 164,796 and 361,676 is: 793,766.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,796 : 361,676 = 361,676 : x
  2. Step 2: Convert to fraction form
    164,796/361,676 = 361,676/x
  3. Step 3: Cross multiply
    164,796x = 361,676 × 361,676
  4. Step 4: Simplify right side
    164,796x = 130,809,528,976
  5. Step 5: Solve for x
    x = 130,809,528,976/164,796
  6. Step 6: Final answer
    x = 793,766.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.