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Finding the Third Proportional to 172,226.50 and 271,546

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Solution

The third proportional to 172,226.50 and 271,546 is: 428,141.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,226.50 : 271,546 = 271,546 : x
  2. Step 2: Convert to fraction form
    172,226.50/271,546 = 271,546/x
  3. Step 3: Cross multiply
    172,226.50x = 271,546 × 271,546
  4. Step 4: Simplify right side
    172,226.50x = 73,737,230,116
  5. Step 5: Solve for x
    x = 73,737,230,116/172,226.50
  6. Step 6: Final answer
    x = 428,141.02

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.