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Finding the Third Proportional to 116,727 and 227,622

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Solution

The third proportional to 116,727 and 227,622 is: 443,871.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,727 : 227,622 = 227,622 : x
  2. Step 2: Convert to fraction form
    116,727/227,622 = 227,622/x
  3. Step 3: Cross multiply
    116,727x = 227,622 × 227,622
  4. Step 4: Simplify right side
    116,727x = 51,811,774,884
  5. Step 5: Solve for x
    x = 51,811,774,884/116,727
  6. Step 6: Final answer
    x = 443,871.38

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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.