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Finding the Third Proportional to 214,616.63 and 332,163.75

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Solution

The third proportional to 214,616.63 and 332,163.75 is: 514,092.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,616.63 : 332,163.75 = 332,163.75 : x
  2. Step 2: Convert to fraction form
    214,616.63/332,163.75 = 332,163.75/x
  3. Step 3: Cross multiply
    214,616.63x = 332,163.75 × 332,163.75
  4. Step 4: Simplify right side
    214,616.63x = 110,332,756,814.06
  5. Step 5: Solve for x
    x = 110,332,756,814.06/214,616.63
  6. Step 6: Final answer
    x = 514,092.31

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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.