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Finding the Third Proportional to 133,036.50 and 285,756

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Solution

The third proportional to 133,036.50 and 285,756 is: 613,790.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,036.50 : 285,756 = 285,756 : x
  2. Step 2: Convert to fraction form
    133,036.50/285,756 = 285,756/x
  3. Step 3: Cross multiply
    133,036.50x = 285,756 × 285,756
  4. Step 4: Simplify right side
    133,036.50x = 81,656,491,536
  5. Step 5: Solve for x
    x = 81,656,491,536/133,036.50
  6. Step 6: Final answer
    x = 613,790.14

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.