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Finding the Third Proportional to 150,541.50 and 206,424.75

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Solution

The third proportional to 150,541.50 and 206,424.75 is: 283,052.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,541.50 : 206,424.75 = 206,424.75 : x
  2. Step 2: Convert to fraction form
    150,541.50/206,424.75 = 206,424.75/x
  3. Step 3: Cross multiply
    150,541.50x = 206,424.75 × 206,424.75
  4. Step 4: Simplify right side
    150,541.50x = 42,611,177,412.56
  5. Step 5: Solve for x
    x = 42,611,177,412.56/150,541.50
  6. Step 6: Final answer
    x = 283,052.70

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.