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Finding the Third Proportional to 192,109.50 and 281,927.25

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Solution

The third proportional to 192,109.50 and 281,927.25 is: 413,737.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,109.50 : 281,927.25 = 281,927.25 : x
  2. Step 2: Convert to fraction form
    192,109.50/281,927.25 = 281,927.25/x
  3. Step 3: Cross multiply
    192,109.50x = 281,927.25 × 281,927.25
  4. Step 4: Simplify right side
    192,109.50x = 79,482,974,292.56
  5. Step 5: Solve for x
    x = 79,482,974,292.56/192,109.50
  6. Step 6: Final answer
    x = 413,737.86

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.