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Finding the Third Proportional to 201,072 and 300,619.50

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Solution

The third proportional to 201,072 and 300,619.50 is: 449,451.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,072 : 300,619.50 = 300,619.50 : x
  2. Step 2: Convert to fraction form
    201,072/300,619.50 = 300,619.50/x
  3. Step 3: Cross multiply
    201,072x = 300,619.50 × 300,619.50
  4. Step 4: Simplify right side
    201,072x = 90,372,083,780.25
  5. Step 5: Solve for x
    x = 90,372,083,780.25/201,072
  6. Step 6: Final answer
    x = 449,451.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.