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Finding the Third Proportional to 80,485.50 and 174,811.50

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Solution

The third proportional to 80,485.50 and 174,811.50 is: 379,684.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,485.50 : 174,811.50 = 174,811.50 : x
  2. Step 2: Convert to fraction form
    80,485.50/174,811.50 = 174,811.50/x
  3. Step 3: Cross multiply
    80,485.50x = 174,811.50 × 174,811.50
  4. Step 4: Simplify right side
    80,485.50x = 30,559,060,532.25
  5. Step 5: Solve for x
    x = 30,559,060,532.25/80,485.50
  6. Step 6: Final answer
    x = 379,684.05

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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.