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Finding the Third Proportional to 120,008 and 261,176

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Solution

The third proportional to 120,008 and 261,176 is: 568,402.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,008 : 261,176 = 261,176 : x
  2. Step 2: Convert to fraction form
    120,008/261,176 = 261,176/x
  3. Step 3: Cross multiply
    120,008x = 261,176 × 261,176
  4. Step 4: Simplify right side
    120,008x = 68,212,902,976
  5. Step 5: Solve for x
    x = 68,212,902,976/120,008
  6. Step 6: Final answer
    x = 568,402.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.