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Finding the Third Proportional to 227,593.50 and 341,974.50

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Solution

The third proportional to 227,593.50 and 341,974.50 is: 513,839.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,593.50 : 341,974.50 = 341,974.50 : x
  2. Step 2: Convert to fraction form
    227,593.50/341,974.50 = 341,974.50/x
  3. Step 3: Cross multiply
    227,593.50x = 341,974.50 × 341,974.50
  4. Step 4: Simplify right side
    227,593.50x = 116,946,558,650.25
  5. Step 5: Solve for x
    x = 116,946,558,650.25/227,593.50
  6. Step 6: Final answer
    x = 513,839.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.