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Finding the Third Proportional to 84,609 and 183,366

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Solution

The third proportional to 84,609 and 183,366 is: 397,393.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,609 : 183,366 = 183,366 : x
  2. Step 2: Convert to fraction form
    84,609/183,366 = 183,366/x
  3. Step 3: Cross multiply
    84,609x = 183,366 × 183,366
  4. Step 4: Simplify right side
    84,609x = 33,623,089,956
  5. Step 5: Solve for x
    x = 33,623,089,956/84,609
  6. Step 6: Final answer
    x = 397,393.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.