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Finding the Third Proportional to 173,791.50 and 406,005

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Solution

The third proportional to 173,791.50 and 406,005 is: 948,493.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,791.50 : 406,005 = 406,005 : x
  2. Step 2: Convert to fraction form
    173,791.50/406,005 = 406,005/x
  3. Step 3: Cross multiply
    173,791.50x = 406,005 × 406,005
  4. Step 4: Simplify right side
    173,791.50x = 164,840,060,025
  5. Step 5: Solve for x
    x = 164,840,060,025/173,791.50
  6. Step 6: Final answer
    x = 948,493.22

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.