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Finding the Third Proportional to 80,331.75 and 174,957.75

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Solution

The third proportional to 80,331.75 and 174,957.75 is: 381,047.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,331.75 : 174,957.75 = 174,957.75 : x
  2. Step 2: Convert to fraction form
    80,331.75/174,957.75 = 174,957.75/x
  3. Step 3: Cross multiply
    80,331.75x = 174,957.75 × 174,957.75
  4. Step 4: Simplify right side
    80,331.75x = 30,610,214,285.06
  5. Step 5: Solve for x
    x = 30,610,214,285.06/80,331.75
  6. Step 6: Final answer
    x = 381,047.52

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.