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Finding the Third Proportional to 227,584.50 and 341,961

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Solution

The third proportional to 227,584.50 and 341,961 is: 513,819.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,584.50 : 341,961 = 341,961 : x
  2. Step 2: Convert to fraction form
    227,584.50/341,961 = 341,961/x
  3. Step 3: Cross multiply
    227,584.50x = 341,961 × 341,961
  4. Step 4: Simplify right side
    227,584.50x = 116,937,325,521
  5. Step 5: Solve for x
    x = 116,937,325,521/227,584.50
  6. Step 6: Final answer
    x = 513,819.37

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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.