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Finding the Third Proportional to 80,884.69 and 173,478.94

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Solution

The third proportional to 80,884.69 and 173,478.94 is: 372,072.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,884.69 : 173,478.94 = 173,478.94 : x
  2. Step 2: Convert to fraction form
    80,884.69/173,478.94 = 173,478.94/x
  3. Step 3: Cross multiply
    80,884.69x = 173,478.94 × 173,478.94
  4. Step 4: Simplify right side
    80,884.69x = 30,094,941,756.13
  5. Step 5: Solve for x
    x = 30,094,941,756.13/80,884.69
  6. Step 6: Final answer
    x = 372,072.18

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.