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Finding the Third Proportional to 160,848 and 230,824

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Solution

The third proportional to 160,848 and 230,824 is: 331,242.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,848 : 230,824 = 230,824 : x
  2. Step 2: Convert to fraction form
    160,848/230,824 = 230,824/x
  3. Step 3: Cross multiply
    160,848x = 230,824 × 230,824
  4. Step 4: Simplify right side
    160,848x = 53,279,718,976
  5. Step 5: Solve for x
    x = 53,279,718,976/160,848
  6. Step 6: Final answer
    x = 331,242.66

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.