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Finding the Third Proportional to 169,796 and 248,676

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Solution

The third proportional to 169,796 and 248,676 is: 364,200.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,796 : 248,676 = 248,676 : x
  2. Step 2: Convert to fraction form
    169,796/248,676 = 248,676/x
  3. Step 3: Cross multiply
    169,796x = 248,676 × 248,676
  4. Step 4: Simplify right side
    169,796x = 61,839,752,976
  5. Step 5: Solve for x
    x = 61,839,752,976/169,796
  6. Step 6: Final answer
    x = 364,200.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.