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Finding the Third Proportional to 122,411 and 259,524

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Solution

The third proportional to 122,411 and 259,524 is: 550,217.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,411 : 259,524 = 259,524 : x
  2. Step 2: Convert to fraction form
    122,411/259,524 = 259,524/x
  3. Step 3: Cross multiply
    122,411x = 259,524 × 259,524
  4. Step 4: Simplify right side
    122,411x = 67,352,706,576
  5. Step 5: Solve for x
    x = 67,352,706,576/122,411
  6. Step 6: Final answer
    x = 550,217.76

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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.