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Finding the Third Proportional to 80,433.38 and 171,553.50

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Solution

The third proportional to 80,433.38 and 171,553.50 is: 365,900.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,433.38 : 171,553.50 = 171,553.50 : x
  2. Step 2: Convert to fraction form
    80,433.38/171,553.50 = 171,553.50/x
  3. Step 3: Cross multiply
    80,433.38x = 171,553.50 × 171,553.50
  4. Step 4: Simplify right side
    80,433.38x = 29,430,603,362.25
  5. Step 5: Solve for x
    x = 29,430,603,362.25/80,433.38
  6. Step 6: Final answer
    x = 365,900.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.