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Finding the Third Proportional to 141,481.69 and 303,208.31

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Solution

The third proportional to 141,481.69 and 303,208.31 is: 649,803.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,481.69 : 303,208.31 = 303,208.31 : x
  2. Step 2: Convert to fraction form
    141,481.69/303,208.31 = 303,208.31/x
  3. Step 3: Cross multiply
    141,481.69x = 303,208.31 × 303,208.31
  4. Step 4: Simplify right side
    141,481.69x = 91,935,280,769.10
  5. Step 5: Solve for x
    x = 91,935,280,769.10/141,481.69
  6. Step 6: Final answer
    x = 649,803.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.