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Finding the Third Proportional to 177,058 and 270,749

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Solution

The third proportional to 177,058 and 270,749 is: 414,016.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,058 : 270,749 = 270,749 : x
  2. Step 2: Convert to fraction form
    177,058/270,749 = 270,749/x
  3. Step 3: Cross multiply
    177,058x = 270,749 × 270,749
  4. Step 4: Simplify right side
    177,058x = 73,305,021,001
  5. Step 5: Solve for x
    x = 73,305,021,001/177,058
  6. Step 6: Final answer
    x = 414,016.99

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.