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Finding the Third Proportional to 111,919 and 257,745

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Solution

The third proportional to 111,919 and 257,745 is: 593,576.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,919 : 257,745 = 257,745 : x
  2. Step 2: Convert to fraction form
    111,919/257,745 = 257,745/x
  3. Step 3: Cross multiply
    111,919x = 257,745 × 257,745
  4. Step 4: Simplify right side
    111,919x = 66,432,485,025
  5. Step 5: Solve for x
    x = 66,432,485,025/111,919
  6. Step 6: Final answer
    x = 593,576.47

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.