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Finding the Third Proportional to 156,266 and 241,815

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Solution

The third proportional to 156,266 and 241,815 is: 374,198.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,266 : 241,815 = 241,815 : x
  2. Step 2: Convert to fraction form
    156,266/241,815 = 241,815/x
  3. Step 3: Cross multiply
    156,266x = 241,815 × 241,815
  4. Step 4: Simplify right side
    156,266x = 58,474,494,225
  5. Step 5: Solve for x
    x = 58,474,494,225/156,266
  6. Step 6: Final answer
    x = 374,198.45

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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.