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Finding the Third Proportional to 223,984 and 322,728

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Solution

The third proportional to 223,984 and 322,728 is: 465,003.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,984 : 322,728 = 322,728 : x
  2. Step 2: Convert to fraction form
    223,984/322,728 = 322,728/x
  3. Step 3: Cross multiply
    223,984x = 322,728 × 322,728
  4. Step 4: Simplify right side
    223,984x = 104,153,361,984
  5. Step 5: Solve for x
    x = 104,153,361,984/223,984
  6. Step 6: Final answer
    x = 465,003.58

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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.