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Finding the Third Proportional to 143,028 and 214,266

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Solution

The third proportional to 143,028 and 214,266 is: 320,985.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,028 : 214,266 = 214,266 : x
  2. Step 2: Convert to fraction form
    143,028/214,266 = 214,266/x
  3. Step 3: Cross multiply
    143,028x = 214,266 × 214,266
  4. Step 4: Simplify right side
    143,028x = 45,909,918,756
  5. Step 5: Solve for x
    x = 45,909,918,756/143,028
  6. Step 6: Final answer
    x = 320,985.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.