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Finding the Third Proportional to 180,933 and 385,912

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Solution

The third proportional to 180,933 and 385,912 is: 823,111.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,933 : 385,912 = 385,912 : x
  2. Step 2: Convert to fraction form
    180,933/385,912 = 385,912/x
  3. Step 3: Cross multiply
    180,933x = 385,912 × 385,912
  4. Step 4: Simplify right side
    180,933x = 148,928,071,744
  5. Step 5: Solve for x
    x = 148,928,071,744/180,933
  6. Step 6: Final answer
    x = 823,111.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.