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Finding the Third Proportional to 164,209 and 352,975

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Solution

The third proportional to 164,209 and 352,975 is: 758,736.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,209 : 352,975 = 352,975 : x
  2. Step 2: Convert to fraction form
    164,209/352,975 = 352,975/x
  3. Step 3: Cross multiply
    164,209x = 352,975 × 352,975
  4. Step 4: Simplify right side
    164,209x = 124,591,350,625
  5. Step 5: Solve for x
    x = 124,591,350,625/164,209
  6. Step 6: Final answer
    x = 758,736.43

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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.