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Finding the Third Proportional to 147,180 and 327,669

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Solution

The third proportional to 147,180 and 327,669 is: 729,494.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,180 : 327,669 = 327,669 : x
  2. Step 2: Convert to fraction form
    147,180/327,669 = 327,669/x
  3. Step 3: Cross multiply
    147,180x = 327,669 × 327,669
  4. Step 4: Simplify right side
    147,180x = 107,366,973,561
  5. Step 5: Solve for x
    x = 107,366,973,561/147,180
  6. Step 6: Final answer
    x = 729,494.32

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.