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Finding the Third Proportional to 206,763.50 and 441,685

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Solution

The third proportional to 206,763.50 and 441,685 is: 943,520.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,763.50 : 441,685 = 441,685 : x
  2. Step 2: Convert to fraction form
    206,763.50/441,685 = 441,685/x
  3. Step 3: Cross multiply
    206,763.50x = 441,685 × 441,685
  4. Step 4: Simplify right side
    206,763.50x = 195,085,639,225
  5. Step 5: Solve for x
    x = 195,085,639,225/206,763.50
  6. Step 6: Final answer
    x = 943,520.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.