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Finding the Third Proportional to 217,059.75 and 326,956.50

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Solution

The third proportional to 217,059.75 and 326,956.50 is: 492,493.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,059.75 : 326,956.50 = 326,956.50 : x
  2. Step 2: Convert to fraction form
    217,059.75/326,956.50 = 326,956.50/x
  3. Step 3: Cross multiply
    217,059.75x = 326,956.50 × 326,956.50
  4. Step 4: Simplify right side
    217,059.75x = 106,900,552,892.25
  5. Step 5: Solve for x
    x = 106,900,552,892.25/217,059.75
  6. Step 6: Final answer
    x = 492,493.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.