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Finding the Third Proportional to 150,318 and 220,995

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Solution

The third proportional to 150,318 and 220,995 is: 324,903.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,318 : 220,995 = 220,995 : x
  2. Step 2: Convert to fraction form
    150,318/220,995 = 220,995/x
  3. Step 3: Cross multiply
    150,318x = 220,995 × 220,995
  4. Step 4: Simplify right side
    150,318x = 48,838,790,025
  5. Step 5: Solve for x
    x = 48,838,790,025/150,318
  6. Step 6: Final answer
    x = 324,903.14

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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.