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Finding the Third Proportional to 116,724.50 and 227,617

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Solution

The third proportional to 116,724.50 and 227,617 is: 443,861.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,724.50 : 227,617 = 227,617 : x
  2. Step 2: Convert to fraction form
    116,724.50/227,617 = 227,617/x
  3. Step 3: Cross multiply
    116,724.50x = 227,617 × 227,617
  4. Step 4: Simplify right side
    116,724.50x = 51,809,498,689
  5. Step 5: Solve for x
    x = 51,809,498,689/116,724.50
  6. Step 6: Final answer
    x = 443,861.39

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.