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Finding the Third Proportional to 212,285.25 and 340,879.50

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Solution

The third proportional to 212,285.25 and 340,879.50 is: 547,371.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,285.25 : 340,879.50 = 340,879.50 : x
  2. Step 2: Convert to fraction form
    212,285.25/340,879.50 = 340,879.50/x
  3. Step 3: Cross multiply
    212,285.25x = 340,879.50 × 340,879.50
  4. Step 4: Simplify right side
    212,285.25x = 116,198,833,520.25
  5. Step 5: Solve for x
    x = 116,198,833,520.25/212,285.25
  6. Step 6: Final answer
    x = 547,371.21

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.