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Finding the Third Proportional to 198,301.50 and 413,019

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Solution

The third proportional to 198,301.50 and 413,019 is: 860,228.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,301.50 : 413,019 = 413,019 : x
  2. Step 2: Convert to fraction form
    198,301.50/413,019 = 413,019/x
  3. Step 3: Cross multiply
    198,301.50x = 413,019 × 413,019
  4. Step 4: Simplify right side
    198,301.50x = 170,584,694,361
  5. Step 5: Solve for x
    x = 170,584,694,361/198,301.50
  6. Step 6: Final answer
    x = 860,228.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.