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Finding the Third Proportional to 162,553.50 and 347,640

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Solution

The third proportional to 162,553.50 and 347,640 is: 743,469.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,553.50 : 347,640 = 347,640 : x
  2. Step 2: Convert to fraction form
    162,553.50/347,640 = 347,640/x
  3. Step 3: Cross multiply
    162,553.50x = 347,640 × 347,640
  4. Step 4: Simplify right side
    162,553.50x = 120,853,569,600
  5. Step 5: Solve for x
    x = 120,853,569,600/162,553.50
  6. Step 6: Final answer
    x = 743,469.50

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.