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Finding the Third Proportional to 111,251 and 246,525

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Solution

The third proportional to 111,251 and 246,525 is: 546,283.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,251 : 246,525 = 246,525 : x
  2. Step 2: Convert to fraction form
    111,251/246,525 = 246,525/x
  3. Step 3: Cross multiply
    111,251x = 246,525 × 246,525
  4. Step 4: Simplify right side
    111,251x = 60,774,575,625
  5. Step 5: Solve for x
    x = 60,774,575,625/111,251
  6. Step 6: Final answer
    x = 546,283.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.