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Finding the Third Proportional to 190,811 and 296,720

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Solution

The third proportional to 190,811 and 296,720 is: 461,413.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,811 : 296,720 = 296,720 : x
  2. Step 2: Convert to fraction form
    190,811/296,720 = 296,720/x
  3. Step 3: Cross multiply
    190,811x = 296,720 × 296,720
  4. Step 4: Simplify right side
    190,811x = 88,042,758,400
  5. Step 5: Solve for x
    x = 88,042,758,400/190,811
  6. Step 6: Final answer
    x = 461,413.43

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.