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Finding the Third Proportional to 120,834 and 259,170

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Solution

The third proportional to 120,834 and 259,170 is: 555,879.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,834 : 259,170 = 259,170 : x
  2. Step 2: Convert to fraction form
    120,834/259,170 = 259,170/x
  3. Step 3: Cross multiply
    120,834x = 259,170 × 259,170
  4. Step 4: Simplify right side
    120,834x = 67,169,088,900
  5. Step 5: Solve for x
    x = 67,169,088,900/120,834
  6. Step 6: Final answer
    x = 555,879.05

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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.