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Finding the Third Proportional to 211,653.75 and 327,861.75

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Solution

The third proportional to 211,653.75 and 327,861.75 is: 507,873.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,653.75 : 327,861.75 = 327,861.75 : x
  2. Step 2: Convert to fraction form
    211,653.75/327,861.75 = 327,861.75/x
  3. Step 3: Cross multiply
    211,653.75x = 327,861.75 × 327,861.75
  4. Step 4: Simplify right side
    211,653.75x = 107,493,327,113.06
  5. Step 5: Solve for x
    x = 107,493,327,113.06/211,653.75
  6. Step 6: Final answer
    x = 507,873.48

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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.