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Finding the Third Proportional to 111,573 and 241,274

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Solution

The third proportional to 111,573 and 241,274 is: 521,749.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,573 : 241,274 = 241,274 : x
  2. Step 2: Convert to fraction form
    111,573/241,274 = 241,274/x
  3. Step 3: Cross multiply
    111,573x = 241,274 × 241,274
  4. Step 4: Simplify right side
    111,573x = 58,213,143,076
  5. Step 5: Solve for x
    x = 58,213,143,076/111,573
  6. Step 6: Final answer
    x = 521,749.38

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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.