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Finding the Third Proportional to 213,706.50 and 332,217.75

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Solution

The third proportional to 213,706.50 and 332,217.75 is: 516,449.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,706.50 : 332,217.75 = 332,217.75 : x
  2. Step 2: Convert to fraction form
    213,706.50/332,217.75 = 332,217.75/x
  3. Step 3: Cross multiply
    213,706.50x = 332,217.75 × 332,217.75
  4. Step 4: Simplify right side
    213,706.50x = 110,368,633,415.06
  5. Step 5: Solve for x
    x = 110,368,633,415.06/213,706.50
  6. Step 6: Final answer
    x = 516,449.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.