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Finding the Third Proportional to 80,208.04 and 174,271.82

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Solution

The third proportional to 80,208.04 and 174,271.82 is: 378,648.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,208.04 : 174,271.82 = 174,271.82 : x
  2. Step 2: Convert to fraction form
    80,208.04/174,271.82 = 174,271.82/x
  3. Step 3: Cross multiply
    80,208.04x = 174,271.82 × 174,271.82
  4. Step 4: Simplify right side
    80,208.04x = 30,370,665,993.53
  5. Step 5: Solve for x
    x = 30,370,665,993.53/80,208.04
  6. Step 6: Final answer
    x = 378,648.67

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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.