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Finding the Third Proportional to 120,532 and 259,562

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Solution

The third proportional to 120,532 and 259,562 is: 558,958.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,532 : 259,562 = 259,562 : x
  2. Step 2: Convert to fraction form
    120,532/259,562 = 259,562/x
  3. Step 3: Cross multiply
    120,532x = 259,562 × 259,562
  4. Step 4: Simplify right side
    120,532x = 67,372,431,844
  5. Step 5: Solve for x
    x = 67,372,431,844/120,532
  6. Step 6: Final answer
    x = 558,958.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.