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Finding the Third Proportional to 193,684.50 and 419,539.50

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Solution

The third proportional to 193,684.50 and 419,539.50 is: 908,763.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,684.50 : 419,539.50 = 419,539.50 : x
  2. Step 2: Convert to fraction form
    193,684.50/419,539.50 = 419,539.50/x
  3. Step 3: Cross multiply
    193,684.50x = 419,539.50 × 419,539.50
  4. Step 4: Simplify right side
    193,684.50x = 176,013,392,060.25
  5. Step 5: Solve for x
    x = 176,013,392,060.25/193,684.50
  6. Step 6: Final answer
    x = 908,763.44

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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.