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Finding the Third Proportional to 209,146.50 and 323,163

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Solution

The third proportional to 209,146.50 and 323,163 is: 499,335.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,146.50 : 323,163 = 323,163 : x
  2. Step 2: Convert to fraction form
    209,146.50/323,163 = 323,163/x
  3. Step 3: Cross multiply
    209,146.50x = 323,163 × 323,163
  4. Step 4: Simplify right side
    209,146.50x = 104,434,324,569
  5. Step 5: Solve for x
    x = 104,434,324,569/209,146.50
  6. Step 6: Final answer
    x = 499,335.75

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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.