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Finding the Third Proportional to 192,095 and 281,914

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Solution

The third proportional to 192,095 and 281,914 is: 413,730.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,095 : 281,914 = 281,914 : x
  2. Step 2: Convert to fraction form
    192,095/281,914 = 281,914/x
  3. Step 3: Cross multiply
    192,095x = 281,914 × 281,914
  4. Step 4: Simplify right side
    192,095x = 79,475,503,396
  5. Step 5: Solve for x
    x = 79,475,503,396/192,095
  6. Step 6: Final answer
    x = 413,730.20

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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.