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Finding the Third Proportional to 190,236.50 and 294,972.75

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Solution

The third proportional to 190,236.50 and 294,972.75 is: 457,372.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,236.50 : 294,972.75 = 294,972.75 : x
  2. Step 2: Convert to fraction form
    190,236.50/294,972.75 = 294,972.75/x
  3. Step 3: Cross multiply
    190,236.50x = 294,972.75 × 294,972.75
  4. Step 4: Simplify right side
    190,236.50x = 87,008,923,242.56
  5. Step 5: Solve for x
    x = 87,008,923,242.56/190,236.50
  6. Step 6: Final answer
    x = 457,372.39

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.