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Finding the Third Proportional to 180,447 and 365,267

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Solution

The third proportional to 180,447 and 365,267 is: 739,385.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,447 : 365,267 = 365,267 : x
  2. Step 2: Convert to fraction form
    180,447/365,267 = 365,267/x
  3. Step 3: Cross multiply
    180,447x = 365,267 × 365,267
  4. Step 4: Simplify right side
    180,447x = 133,419,981,289
  5. Step 5: Solve for x
    x = 133,419,981,289/180,447
  6. Step 6: Final answer
    x = 739,385.98

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.