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Finding the Third Proportional to 80,245.50 and 169,441.50

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Solution

The third proportional to 80,245.50 and 169,441.50 is: 357,782.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,245.50 : 169,441.50 = 169,441.50 : x
  2. Step 2: Convert to fraction form
    80,245.50/169,441.50 = 169,441.50/x
  3. Step 3: Cross multiply
    80,245.50x = 169,441.50 × 169,441.50
  4. Step 4: Simplify right side
    80,245.50x = 28,710,421,922.25
  5. Step 5: Solve for x
    x = 28,710,421,922.25/80,245.50
  6. Step 6: Final answer
    x = 357,782.33

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.