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Finding the Third Proportional to 163,881 and 354,096

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Solution

The third proportional to 163,881 and 354,096 is: 765,091.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,881 : 354,096 = 354,096 : x
  2. Step 2: Convert to fraction form
    163,881/354,096 = 354,096/x
  3. Step 3: Cross multiply
    163,881x = 354,096 × 354,096
  4. Step 4: Simplify right side
    163,881x = 125,383,977,216
  5. Step 5: Solve for x
    x = 125,383,977,216/163,881
  6. Step 6: Final answer
    x = 765,091.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.