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Finding the Third Proportional to 227,083.50 and 325,863

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Solution

The third proportional to 227,083.50 and 325,863 is: 467,610.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,083.50 : 325,863 = 325,863 : x
  2. Step 2: Convert to fraction form
    227,083.50/325,863 = 325,863/x
  3. Step 3: Cross multiply
    227,083.50x = 325,863 × 325,863
  4. Step 4: Simplify right side
    227,083.50x = 106,186,694,769
  5. Step 5: Solve for x
    x = 106,186,694,769/227,083.50
  6. Step 6: Final answer
    x = 467,610.79

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.