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Finding the Third Proportional to 198,324.50 and 436,015

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Solution

The third proportional to 198,324.50 and 436,015 is: 958,575.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,324.50 : 436,015 = 436,015 : x
  2. Step 2: Convert to fraction form
    198,324.50/436,015 = 436,015/x
  3. Step 3: Cross multiply
    198,324.50x = 436,015 × 436,015
  4. Step 4: Simplify right side
    198,324.50x = 190,109,080,225
  5. Step 5: Solve for x
    x = 190,109,080,225/198,324.50
  6. Step 6: Final answer
    x = 958,575.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.