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Finding the Third Proportional to 213,682.50 and 332,178.75

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Solution

The third proportional to 213,682.50 and 332,178.75 is: 516,386.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,682.50 : 332,178.75 = 332,178.75 : x
  2. Step 2: Convert to fraction form
    213,682.50/332,178.75 = 332,178.75/x
  3. Step 3: Cross multiply
    213,682.50x = 332,178.75 × 332,178.75
  4. Step 4: Simplify right side
    213,682.50x = 110,342,721,951.56
  5. Step 5: Solve for x
    x = 110,342,721,951.56/213,682.50
  6. Step 6: Final answer
    x = 516,386.33

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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.