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Finding the Third Proportional to 122,422 and 259,541

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Solution

The third proportional to 122,422 and 259,541 is: 550,240.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,422 : 259,541 = 259,541 : x
  2. Step 2: Convert to fraction form
    122,422/259,541 = 259,541/x
  3. Step 3: Cross multiply
    122,422x = 259,541 × 259,541
  4. Step 4: Simplify right side
    122,422x = 67,361,530,681
  5. Step 5: Solve for x
    x = 67,361,530,681/122,422
  6. Step 6: Final answer
    x = 550,240.40

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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.