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Finding the Third Proportional to 243,509.63 and 331,730.44

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Solution

The third proportional to 243,509.63 and 331,730.44 is: 451,912.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,509.63 : 331,730.44 = 331,730.44 : x
  2. Step 2: Convert to fraction form
    243,509.63/331,730.44 = 331,730.44/x
  3. Step 3: Cross multiply
    243,509.63x = 331,730.44 × 331,730.44
  4. Step 4: Simplify right side
    243,509.63x = 110,045,083,163.94
  5. Step 5: Solve for x
    x = 110,045,083,163.94/243,509.63
  6. Step 6: Final answer
    x = 451,912.66

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.