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Finding the Third Proportional to 122,682 and 250,524

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Solution

The third proportional to 122,682 and 250,524 is: 511,585.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,682 : 250,524 = 250,524 : x
  2. Step 2: Convert to fraction form
    122,682/250,524 = 250,524/x
  3. Step 3: Cross multiply
    122,682x = 250,524 × 250,524
  4. Step 4: Simplify right side
    122,682x = 62,762,274,576
  5. Step 5: Solve for x
    x = 62,762,274,576/122,682
  6. Step 6: Final answer
    x = 511,585.03

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.