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Finding the Third Proportional to 206,173 and 290,331

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Solution

The third proportional to 206,173 and 290,331 is: 408,841.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,173 : 290,331 = 290,331 : x
  2. Step 2: Convert to fraction form
    206,173/290,331 = 290,331/x
  3. Step 3: Cross multiply
    206,173x = 290,331 × 290,331
  4. Step 4: Simplify right side
    206,173x = 84,292,089,561
  5. Step 5: Solve for x
    x = 84,292,089,561/206,173
  6. Step 6: Final answer
    x = 408,841.55

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.