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Finding the Third Proportional to 193,441 and 273,961.50

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Solution

The third proportional to 193,441 and 273,961.50 is: 387,998.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,441 : 273,961.50 = 273,961.50 : x
  2. Step 2: Convert to fraction form
    193,441/273,961.50 = 273,961.50/x
  3. Step 3: Cross multiply
    193,441x = 273,961.50 × 273,961.50
  4. Step 4: Simplify right side
    193,441x = 75,054,903,482.25
  5. Step 5: Solve for x
    x = 75,054,903,482.25/193,441
  6. Step 6: Final answer
    x = 387,998.94

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.