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Finding the Third Proportional to 120,831 and 264,901

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Solution

The third proportional to 120,831 and 264,901 is: 580,749.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,831 : 264,901 = 264,901 : x
  2. Step 2: Convert to fraction form
    120,831/264,901 = 264,901/x
  3. Step 3: Cross multiply
    120,831x = 264,901 × 264,901
  4. Step 4: Simplify right side
    120,831x = 70,172,539,801
  5. Step 5: Solve for x
    x = 70,172,539,801/120,831
  6. Step 6: Final answer
    x = 580,749.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.