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Finding the Third Proportional to 223,980 and 322,722

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Solution

The third proportional to 223,980 and 322,722 is: 464,994.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,980 : 322,722 = 322,722 : x
  2. Step 2: Convert to fraction form
    223,980/322,722 = 322,722/x
  3. Step 3: Cross multiply
    223,980x = 322,722 × 322,722
  4. Step 4: Simplify right side
    223,980x = 104,149,489,284
  5. Step 5: Solve for x
    x = 104,149,489,284/223,980
  6. Step 6: Final answer
    x = 464,994.59

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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.