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Finding the Third Proportional to 131,667 and 279,021

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Solution

The third proportional to 131,667 and 279,021 is: 591,284.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,667 : 279,021 = 279,021 : x
  2. Step 2: Convert to fraction form
    131,667/279,021 = 279,021/x
  3. Step 3: Cross multiply
    131,667x = 279,021 × 279,021
  4. Step 4: Simplify right side
    131,667x = 77,852,718,441
  5. Step 5: Solve for x
    x = 77,852,718,441/131,667
  6. Step 6: Final answer
    x = 591,284.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.