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Finding the Third Proportional to 150,745 and 221,622

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Solution

The third proportional to 150,745 and 221,622 is: 325,823.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,745 : 221,622 = 221,622 : x
  2. Step 2: Convert to fraction form
    150,745/221,622 = 221,622/x
  3. Step 3: Cross multiply
    150,745x = 221,622 × 221,622
  4. Step 4: Simplify right side
    150,745x = 49,116,310,884
  5. Step 5: Solve for x
    x = 49,116,310,884/150,745
  6. Step 6: Final answer
    x = 325,823.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.