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Finding the Third Proportional to 80,533.50 and 174,940

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Solution

The third proportional to 80,533.50 and 174,940 is: 380,015.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,533.50 : 174,940 = 174,940 : x
  2. Step 2: Convert to fraction form
    80,533.50/174,940 = 174,940/x
  3. Step 3: Cross multiply
    80,533.50x = 174,940 × 174,940
  4. Step 4: Simplify right side
    80,533.50x = 30,604,003,600
  5. Step 5: Solve for x
    x = 30,604,003,600/80,533.50
  6. Step 6: Final answer
    x = 380,015.81

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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.