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Finding the Third Proportional to 192,579.19 and 281,737.13

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Solution

The third proportional to 192,579.19 and 281,737.13 is: 412,172.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,579.19 : 281,737.13 = 281,737.13 : x
  2. Step 2: Convert to fraction form
    192,579.19/281,737.13 = 281,737.13/x
  3. Step 3: Cross multiply
    192,579.19x = 281,737.13 × 281,737.13
  4. Step 4: Simplify right side
    192,579.19x = 79,375,807,603.27
  5. Step 5: Solve for x
    x = 79,375,807,603.27/192,579.19
  6. Step 6: Final answer
    x = 412,172.30

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.