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Finding the Third Proportional to 167,680.50 and 246,174

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Solution

The third proportional to 167,680.50 and 246,174 is: 361,411.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,680.50 : 246,174 = 246,174 : x
  2. Step 2: Convert to fraction form
    167,680.50/246,174 = 246,174/x
  3. Step 3: Cross multiply
    167,680.50x = 246,174 × 246,174
  4. Step 4: Simplify right side
    167,680.50x = 60,601,638,276
  5. Step 5: Solve for x
    x = 60,601,638,276/167,680.50
  6. Step 6: Final answer
    x = 361,411.36

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.