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Finding the Third Proportional to 122,541 and 269,246

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Solution

The third proportional to 122,541 and 269,246 is: 591,584.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,541 : 269,246 = 269,246 : x
  2. Step 2: Convert to fraction form
    122,541/269,246 = 269,246/x
  3. Step 3: Cross multiply
    122,541x = 269,246 × 269,246
  4. Step 4: Simplify right side
    122,541x = 72,493,408,516
  5. Step 5: Solve for x
    x = 72,493,408,516/122,541
  6. Step 6: Final answer
    x = 591,584.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.