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Finding the Third Proportional to 138,546 and 303,012

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Solution

The third proportional to 138,546 and 303,012 is: 662,713.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,546 : 303,012 = 303,012 : x
  2. Step 2: Convert to fraction form
    138,546/303,012 = 303,012/x
  3. Step 3: Cross multiply
    138,546x = 303,012 × 303,012
  4. Step 4: Simplify right side
    138,546x = 91,816,272,144
  5. Step 5: Solve for x
    x = 91,816,272,144/138,546
  6. Step 6: Final answer
    x = 662,713.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.