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Finding the Third Proportional to 218,416.50 and 327,300.75

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Solution

The third proportional to 218,416.50 and 327,300.75 is: 490,465.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,416.50 : 327,300.75 = 327,300.75 : x
  2. Step 2: Convert to fraction form
    218,416.50/327,300.75 = 327,300.75/x
  3. Step 3: Cross multiply
    218,416.50x = 327,300.75 × 327,300.75
  4. Step 4: Simplify right side
    218,416.50x = 107,125,780,950.56
  5. Step 5: Solve for x
    x = 107,125,780,950.56/218,416.50
  6. Step 6: Final answer
    x = 490,465.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.