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Finding the Third Proportional to 143,072 and 308,287

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Solution

The third proportional to 143,072 and 308,287 is: 664,287.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,072 : 308,287 = 308,287 : x
  2. Step 2: Convert to fraction form
    143,072/308,287 = 308,287/x
  3. Step 3: Cross multiply
    143,072x = 308,287 × 308,287
  4. Step 4: Simplify right side
    143,072x = 95,040,874,369
  5. Step 5: Solve for x
    x = 95,040,874,369/143,072
  6. Step 6: Final answer
    x = 664,287.03

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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.