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Finding the Third Proportional to 173,824 and 380,866

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Solution

The third proportional to 173,824 and 380,866 is: 834,516.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,824 : 380,866 = 380,866 : x
  2. Step 2: Convert to fraction form
    173,824/380,866 = 380,866/x
  3. Step 3: Cross multiply
    173,824x = 380,866 × 380,866
  4. Step 4: Simplify right side
    173,824x = 145,058,909,956
  5. Step 5: Solve for x
    x = 145,058,909,956/173,824
  6. Step 6: Final answer
    x = 834,516.00

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.