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Finding the Third Proportional to 80,394.75 and 179,824.50

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Solution

The third proportional to 80,394.75 and 179,824.50 is: 402,225.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,394.75 : 179,824.50 = 179,824.50 : x
  2. Step 2: Convert to fraction form
    80,394.75/179,824.50 = 179,824.50/x
  3. Step 3: Cross multiply
    80,394.75x = 179,824.50 × 179,824.50
  4. Step 4: Simplify right side
    80,394.75x = 32,336,850,800.25
  5. Step 5: Solve for x
    x = 32,336,850,800.25/80,394.75
  6. Step 6: Final answer
    x = 402,225.90

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These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.