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Finding the Third Proportional to 172,091.25 and 369,092.25

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Solution

The third proportional to 172,091.25 and 369,092.25 is: 791,609.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,091.25 : 369,092.25 = 369,092.25 : x
  2. Step 2: Convert to fraction form
    172,091.25/369,092.25 = 369,092.25/x
  3. Step 3: Cross multiply
    172,091.25x = 369,092.25 × 369,092.25
  4. Step 4: Simplify right side
    172,091.25x = 136,229,089,010.06
  5. Step 5: Solve for x
    x = 136,229,089,010.06/172,091.25
  6. Step 6: Final answer
    x = 791,609.62

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.