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Finding the Third Proportional to 143,667 and 227,381

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Solution

The third proportional to 143,667 and 227,381 is: 359,874.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,667 : 227,381 = 227,381 : x
  2. Step 2: Convert to fraction form
    143,667/227,381 = 227,381/x
  3. Step 3: Cross multiply
    143,667x = 227,381 × 227,381
  4. Step 4: Simplify right side
    143,667x = 51,702,119,161
  5. Step 5: Solve for x
    x = 51,702,119,161/143,667
  6. Step 6: Final answer
    x = 359,874.70

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.