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Finding the Third Proportional to 174,203.25 and 381,621.75

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Solution

The third proportional to 174,203.25 and 381,621.75 is: 836,007.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,203.25 : 381,621.75 = 381,621.75 : x
  2. Step 2: Convert to fraction form
    174,203.25/381,621.75 = 381,621.75/x
  3. Step 3: Cross multiply
    174,203.25x = 381,621.75 × 381,621.75
  4. Step 4: Simplify right side
    174,203.25x = 145,635,160,073.06
  5. Step 5: Solve for x
    x = 145,635,160,073.06/174,203.25
  6. Step 6: Final answer
    x = 836,007.14

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.