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Finding the Third Proportional to 164,427.75 and 354,234

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Solution

The third proportional to 164,427.75 and 354,234 is: 763,142.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,427.75 : 354,234 = 354,234 : x
  2. Step 2: Convert to fraction form
    164,427.75/354,234 = 354,234/x
  3. Step 3: Cross multiply
    164,427.75x = 354,234 × 354,234
  4. Step 4: Simplify right side
    164,427.75x = 125,481,726,756
  5. Step 5: Solve for x
    x = 125,481,726,756/164,427.75
  6. Step 6: Final answer
    x = 763,142.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.