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Finding the Third Proportional to 80,016.75 and 174,798

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Solution

The third proportional to 80,016.75 and 174,798 is: 381,849.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,016.75 : 174,798 = 174,798 : x
  2. Step 2: Convert to fraction form
    80,016.75/174,798 = 174,798/x
  3. Step 3: Cross multiply
    80,016.75x = 174,798 × 174,798
  4. Step 4: Simplify right side
    80,016.75x = 30,554,340,804
  5. Step 5: Solve for x
    x = 30,554,340,804/80,016.75
  6. Step 6: Final answer
    x = 381,849.31

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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.