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Finding the Third Proportional to 156,268 and 241,818

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Solution

The third proportional to 156,268 and 241,818 is: 374,202.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,268 : 241,818 = 241,818 : x
  2. Step 2: Convert to fraction form
    156,268/241,818 = 241,818/x
  3. Step 3: Cross multiply
    156,268x = 241,818 × 241,818
  4. Step 4: Simplify right side
    156,268x = 58,475,945,124
  5. Step 5: Solve for x
    x = 58,475,945,124/156,268
  6. Step 6: Final answer
    x = 374,202.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.