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Finding the Third Proportional to 111,315 and 262,512

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Solution

The third proportional to 111,315 and 262,512 is: 619,076.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,315 : 262,512 = 262,512 : x
  2. Step 2: Convert to fraction form
    111,315/262,512 = 262,512/x
  3. Step 3: Cross multiply
    111,315x = 262,512 × 262,512
  4. Step 4: Simplify right side
    111,315x = 68,912,550,144
  5. Step 5: Solve for x
    x = 68,912,550,144/111,315
  6. Step 6: Final answer
    x = 619,076.95

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.