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Finding the Third Proportional to 116,743.50 and 227,655

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Solution

The third proportional to 116,743.50 and 227,655 is: 443,937.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,743.50 : 227,655 = 227,655 : x
  2. Step 2: Convert to fraction form
    116,743.50/227,655 = 227,655/x
  3. Step 3: Cross multiply
    116,743.50x = 227,655 × 227,655
  4. Step 4: Simplify right side
    116,743.50x = 51,826,799,025
  5. Step 5: Solve for x
    x = 51,826,799,025/116,743.50
  6. Step 6: Final answer
    x = 443,937.34

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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.