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Finding the Third Proportional to 282,198.50 and 437,138.50

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Solution

The third proportional to 282,198.50 and 437,138.50 is: 677,147.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,198.50 : 437,138.50 = 437,138.50 : x
  2. Step 2: Convert to fraction form
    282,198.50/437,138.50 = 437,138.50/x
  3. Step 3: Cross multiply
    282,198.50x = 437,138.50 × 437,138.50
  4. Step 4: Simplify right side
    282,198.50x = 191,090,068,182.25
  5. Step 5: Solve for x
    x = 191,090,068,182.25/282,198.50
  6. Step 6: Final answer
    x = 677,147.71

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.