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Finding the Third Proportional to 133,041 and 285,767

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Solution

The third proportional to 133,041 and 285,767 is: 613,816.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,041 : 285,767 = 285,767 : x
  2. Step 2: Convert to fraction form
    133,041/285,767 = 285,767/x
  3. Step 3: Cross multiply
    133,041x = 285,767 × 285,767
  4. Step 4: Simplify right side
    133,041x = 81,662,778,289
  5. Step 5: Solve for x
    x = 81,662,778,289/133,041
  6. Step 6: Final answer
    x = 613,816.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.