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Finding the Third Proportional to 190,992 and 404,751

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Solution

The third proportional to 190,992 and 404,751 is: 857,749.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,992 : 404,751 = 404,751 : x
  2. Step 2: Convert to fraction form
    190,992/404,751 = 404,751/x
  3. Step 3: Cross multiply
    190,992x = 404,751 × 404,751
  4. Step 4: Simplify right side
    190,992x = 163,823,372,001
  5. Step 5: Solve for x
    x = 163,823,372,001/190,992
  6. Step 6: Final answer
    x = 857,749.92

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.