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Finding the Third Proportional to 134,581.50 and 283,105.13

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Solution

The third proportional to 134,581.50 and 283,105.13 is: 595,538.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,581.50 : 283,105.13 = 283,105.13 : x
  2. Step 2: Convert to fraction form
    134,581.50/283,105.13 = 283,105.13/x
  3. Step 3: Cross multiply
    134,581.50x = 283,105.13 × 283,105.13
  4. Step 4: Simplify right side
    134,581.50x = 80,148,511,801.27
  5. Step 5: Solve for x
    x = 80,148,511,801.27/134,581.50
  6. Step 6: Final answer
    x = 595,538.85

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.