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Finding the Third Proportional to 122,611 and 264,571

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Solution

The third proportional to 122,611 and 264,571 is: 570,893.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,611 : 264,571 = 264,571 : x
  2. Step 2: Convert to fraction form
    122,611/264,571 = 264,571/x
  3. Step 3: Cross multiply
    122,611x = 264,571 × 264,571
  4. Step 4: Simplify right side
    122,611x = 69,997,814,041
  5. Step 5: Solve for x
    x = 69,997,814,041/122,611
  6. Step 6: Final answer
    x = 570,893.43

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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.