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Finding the Third Proportional to 180,485 and 365,351

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Solution

The third proportional to 180,485 and 365,351 is: 739,570.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,485 : 365,351 = 365,351 : x
  2. Step 2: Convert to fraction form
    180,485/365,351 = 365,351/x
  3. Step 3: Cross multiply
    180,485x = 365,351 × 365,351
  4. Step 4: Simplify right side
    180,485x = 133,481,353,201
  5. Step 5: Solve for x
    x = 133,481,353,201/180,485
  6. Step 6: Final answer
    x = 739,570.34

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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.