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Finding the Third Proportional to 120,846 and 259,194

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Solution

The third proportional to 120,846 and 259,194 is: 555,926.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,846 : 259,194 = 259,194 : x
  2. Step 2: Convert to fraction form
    120,846/259,194 = 259,194/x
  3. Step 3: Cross multiply
    120,846x = 259,194 × 259,194
  4. Step 4: Simplify right side
    120,846x = 67,181,529,636
  5. Step 5: Solve for x
    x = 67,181,529,636/120,846
  6. Step 6: Final answer
    x = 555,926.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.