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Finding the Third Proportional to 135,031.50 and 217,509.75

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Solution

The third proportional to 135,031.50 and 217,509.75 is: 350,366.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,031.50 : 217,509.75 = 217,509.75 : x
  2. Step 2: Convert to fraction form
    135,031.50/217,509.75 = 217,509.75/x
  3. Step 3: Cross multiply
    135,031.50x = 217,509.75 × 217,509.75
  4. Step 4: Simplify right side
    135,031.50x = 47,310,491,345.06
  5. Step 5: Solve for x
    x = 47,310,491,345.06/135,031.50
  6. Step 6: Final answer
    x = 350,366.33

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.