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Finding the Third Proportional to 133,206 and 278,652

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Solution

The third proportional to 133,206 and 278,652 is: 582,908.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,206 : 278,652 = 278,652 : x
  2. Step 2: Convert to fraction form
    133,206/278,652 = 278,652/x
  3. Step 3: Cross multiply
    133,206x = 278,652 × 278,652
  4. Step 4: Simplify right side
    133,206x = 77,646,937,104
  5. Step 5: Solve for x
    x = 77,646,937,104/133,206
  6. Step 6: Final answer
    x = 582,908.71

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.