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Finding the Third Proportional to 120,349 and 180,267

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Solution

The third proportional to 120,349 and 180,267 is: 270,016.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,349 : 180,267 = 180,267 : x
  2. Step 2: Convert to fraction form
    120,349/180,267 = 180,267/x
  3. Step 3: Cross multiply
    120,349x = 180,267 × 180,267
  4. Step 4: Simplify right side
    120,349x = 32,496,191,289
  5. Step 5: Solve for x
    x = 32,496,191,289/120,349
  6. Step 6: Final answer
    x = 270,016.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.