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Finding the Third Proportional to 122,706 and 260,243

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Solution

The third proportional to 122,706 and 260,243 is: 551,940.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,706 : 260,243 = 260,243 : x
  2. Step 2: Convert to fraction form
    122,706/260,243 = 260,243/x
  3. Step 3: Cross multiply
    122,706x = 260,243 × 260,243
  4. Step 4: Simplify right side
    122,706x = 67,726,419,049
  5. Step 5: Solve for x
    x = 67,726,419,049/122,706
  6. Step 6: Final answer
    x = 551,940.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.