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Finding the Third Proportional to 159,519 and 350,485

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Solution

The third proportional to 159,519 and 350,485 is: 770,063.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,519 : 350,485 = 350,485 : x
  2. Step 2: Convert to fraction form
    159,519/350,485 = 350,485/x
  3. Step 3: Cross multiply
    159,519x = 350,485 × 350,485
  4. Step 4: Simplify right side
    159,519x = 122,839,735,225
  5. Step 5: Solve for x
    x = 122,839,735,225/159,519
  6. Step 6: Final answer
    x = 770,063.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.