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Finding the Third Proportional to 122,673 and 264,679

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Solution

The third proportional to 122,673 and 264,679 is: 571,070.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,673 : 264,679 = 264,679 : x
  2. Step 2: Convert to fraction form
    122,673/264,679 = 264,679/x
  3. Step 3: Cross multiply
    122,673x = 264,679 × 264,679
  4. Step 4: Simplify right side
    122,673x = 70,054,973,041
  5. Step 5: Solve for x
    x = 70,054,973,041/122,673
  6. Step 6: Final answer
    x = 571,070.84

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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.