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Finding the Third Proportional to 190,450.50 and 283,506

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Solution

The third proportional to 190,450.50 and 283,506 is: 422,029.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,450.50 : 283,506 = 283,506 : x
  2. Step 2: Convert to fraction form
    190,450.50/283,506 = 283,506/x
  3. Step 3: Cross multiply
    190,450.50x = 283,506 × 283,506
  4. Step 4: Simplify right side
    190,450.50x = 80,375,652,036
  5. Step 5: Solve for x
    x = 80,375,652,036/190,450.50
  6. Step 6: Final answer
    x = 422,029.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.