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Finding the Third Proportional to 143,622 and 308,567

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Solution

The third proportional to 143,622 and 308,567 is: 662,945.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,622 : 308,567 = 308,567 : x
  2. Step 2: Convert to fraction form
    143,622/308,567 = 308,567/x
  3. Step 3: Cross multiply
    143,622x = 308,567 × 308,567
  4. Step 4: Simplify right side
    143,622x = 95,213,593,489
  5. Step 5: Solve for x
    x = 95,213,593,489/143,622
  6. Step 6: Final answer
    x = 662,945.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.