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Finding the Third Proportional to 163,844 and 345,176

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Solution

The third proportional to 163,844 and 345,176 is: 727,194.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,844 : 345,176 = 345,176 : x
  2. Step 2: Convert to fraction form
    163,844/345,176 = 345,176/x
  3. Step 3: Cross multiply
    163,844x = 345,176 × 345,176
  4. Step 4: Simplify right side
    163,844x = 119,146,470,976
  5. Step 5: Solve for x
    x = 119,146,470,976/163,844
  6. Step 6: Final answer
    x = 727,194.59

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.