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Finding the Third Proportional to 214,015.50 and 331,843.50

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Solution

The third proportional to 214,015.50 and 331,843.50 is: 514,542.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,015.50 : 331,843.50 = 331,843.50 : x
  2. Step 2: Convert to fraction form
    214,015.50/331,843.50 = 331,843.50/x
  3. Step 3: Cross multiply
    214,015.50x = 331,843.50 × 331,843.50
  4. Step 4: Simplify right side
    214,015.50x = 110,120,108,492.25
  5. Step 5: Solve for x
    x = 110,120,108,492.25/214,015.50
  6. Step 6: Final answer
    x = 514,542.68

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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.