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Finding the Third Proportional to 217,950.75 and 327,145.50

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Solution

The third proportional to 217,950.75 and 327,145.50 is: 491,047.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,950.75 : 327,145.50 = 327,145.50 : x
  2. Step 2: Convert to fraction form
    217,950.75/327,145.50 = 327,145.50/x
  3. Step 3: Cross multiply
    217,950.75x = 327,145.50 × 327,145.50
  4. Step 4: Simplify right side
    217,950.75x = 107,024,178,170.25
  5. Step 5: Solve for x
    x = 107,024,178,170.25/217,950.75
  6. Step 6: Final answer
    x = 491,047.53

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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.