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Finding the Third Proportional to 192,198 and 293,037

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Solution

The third proportional to 192,198 and 293,037 is: 446,782.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,198 : 293,037 = 293,037 : x
  2. Step 2: Convert to fraction form
    192,198/293,037 = 293,037/x
  3. Step 3: Cross multiply
    192,198x = 293,037 × 293,037
  4. Step 4: Simplify right side
    192,198x = 85,870,683,369
  5. Step 5: Solve for x
    x = 85,870,683,369/192,198
  6. Step 6: Final answer
    x = 446,782.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.