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Finding the Third Proportional to 143,571 and 210,916

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Solution

The third proportional to 143,571 and 210,916 is: 309,850.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,571 : 210,916 = 210,916 : x
  2. Step 2: Convert to fraction form
    143,571/210,916 = 210,916/x
  3. Step 3: Cross multiply
    143,571x = 210,916 × 210,916
  4. Step 4: Simplify right side
    143,571x = 44,485,559,056
  5. Step 5: Solve for x
    x = 44,485,559,056/143,571
  6. Step 6: Final answer
    x = 309,850.59

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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.