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Finding the Third Proportional to 122,723 and 264,766

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Solution

The third proportional to 122,723 and 264,766 is: 571,213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,723 : 264,766 = 264,766 : x
  2. Step 2: Convert to fraction form
    122,723/264,766 = 264,766/x
  3. Step 3: Cross multiply
    122,723x = 264,766 × 264,766
  4. Step 4: Simplify right side
    122,723x = 70,101,034,756
  5. Step 5: Solve for x
    x = 70,101,034,756/122,723
  6. Step 6: Final answer
    x = 571,213.50

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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.