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Finding the Third Proportional to 132,055.50 and 284,644.50

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Solution

The third proportional to 132,055.50 and 284,644.50 is: 613,548.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,055.50 : 284,644.50 = 284,644.50 : x
  2. Step 2: Convert to fraction form
    132,055.50/284,644.50 = 284,644.50/x
  3. Step 3: Cross multiply
    132,055.50x = 284,644.50 × 284,644.50
  4. Step 4: Simplify right side
    132,055.50x = 81,022,491,380.25
  5. Step 5: Solve for x
    x = 81,022,491,380.25/132,055.50
  6. Step 6: Final answer
    x = 613,548.78

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.