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Finding the Third Proportional to 171,741 and 372,069.94

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Solution

The third proportional to 171,741 and 372,069.94 is: 806,074.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,741 : 372,069.94 = 372,069.94 : x
  2. Step 2: Convert to fraction form
    171,741/372,069.94 = 372,069.94/x
  3. Step 3: Cross multiply
    171,741x = 372,069.94 × 372,069.94
  4. Step 4: Simplify right side
    171,741x = 138,436,038,391.25
  5. Step 5: Solve for x
    x = 138,436,038,391.25/171,741
  6. Step 6: Final answer
    x = 806,074.49

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