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Finding the Third Proportional to 191,849 and 421,768

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Solution

The third proportional to 191,849 and 421,768 is: 927,230.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,849 : 421,768 = 421,768 : x
  2. Step 2: Convert to fraction form
    191,849/421,768 = 421,768/x
  3. Step 3: Cross multiply
    191,849x = 421,768 × 421,768
  4. Step 4: Simplify right side
    191,849x = 177,888,245,824
  5. Step 5: Solve for x
    x = 177,888,245,824/191,849
  6. Step 6: Final answer
    x = 927,230.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.