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Finding the Third Proportional to 143,900 and 217,857

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Solution

The third proportional to 143,900 and 217,857 is: 329,823.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,900 : 217,857 = 217,857 : x
  2. Step 2: Convert to fraction form
    143,900/217,857 = 217,857/x
  3. Step 3: Cross multiply
    143,900x = 217,857 × 217,857
  4. Step 4: Simplify right side
    143,900x = 47,461,672,449
  5. Step 5: Solve for x
    x = 47,461,672,449/143,900
  6. Step 6: Final answer
    x = 329,823.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.