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Finding the Third Proportional to 150,889 and 327,736

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Solution

The third proportional to 150,889 and 327,736 is: 711,853.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,889 : 327,736 = 327,736 : x
  2. Step 2: Convert to fraction form
    150,889/327,736 = 327,736/x
  3. Step 3: Cross multiply
    150,889x = 327,736 × 327,736
  4. Step 4: Simplify right side
    150,889x = 107,410,885,696
  5. Step 5: Solve for x
    x = 107,410,885,696/150,889
  6. Step 6: Final answer
    x = 711,853.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.