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Finding the Third Proportional to 192,691.50 and 406,155

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Solution

The third proportional to 192,691.50 and 406,155 is: 856,093.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,691.50 : 406,155 = 406,155 : x
  2. Step 2: Convert to fraction form
    192,691.50/406,155 = 406,155/x
  3. Step 3: Cross multiply
    192,691.50x = 406,155 × 406,155
  4. Step 4: Simplify right side
    192,691.50x = 164,961,884,025
  5. Step 5: Solve for x
    x = 164,961,884,025/192,691.50
  6. Step 6: Final answer
    x = 856,093.21

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