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Finding the Third Proportional to 122,969 and 264,804

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Solution

The third proportional to 122,969 and 264,804 is: 570,234.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,969 : 264,804 = 264,804 : x
  2. Step 2: Convert to fraction form
    122,969/264,804 = 264,804/x
  3. Step 3: Cross multiply
    122,969x = 264,804 × 264,804
  4. Step 4: Simplify right side
    122,969x = 70,121,158,416
  5. Step 5: Solve for x
    x = 70,121,158,416/122,969
  6. Step 6: Final answer
    x = 570,234.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.