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Finding the Third Proportional to 192,690 and 406,153

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Solution

The third proportional to 192,690 and 406,153 is: 856,091.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,690 : 406,153 = 406,153 : x
  2. Step 2: Convert to fraction form
    192,690/406,153 = 406,153/x
  3. Step 3: Cross multiply
    192,690x = 406,153 × 406,153
  4. Step 4: Simplify right side
    192,690x = 164,960,259,409
  5. Step 5: Solve for x
    x = 164,960,259,409/192,690
  6. Step 6: Final answer
    x = 856,091.44

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.