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Finding the Third Proportional to 84,744 and 180,444

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Solution

The third proportional to 84,744 and 180,444 is: 384,216.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,744 : 180,444 = 180,444 : x
  2. Step 2: Convert to fraction form
    84,744/180,444 = 180,444/x
  3. Step 3: Cross multiply
    84,744x = 180,444 × 180,444
  4. Step 4: Simplify right side
    84,744x = 32,560,037,136
  5. Step 5: Solve for x
    x = 32,560,037,136/84,744
  6. Step 6: Final answer
    x = 384,216.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.