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Finding the Third Proportional to 104,166 and 227,934

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Solution

The third proportional to 104,166 and 227,934 is: 498,760.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,166 : 227,934 = 227,934 : x
  2. Step 2: Convert to fraction form
    104,166/227,934 = 227,934/x
  3. Step 3: Cross multiply
    104,166x = 227,934 × 227,934
  4. Step 4: Simplify right side
    104,166x = 51,953,908,356
  5. Step 5: Solve for x
    x = 51,953,908,356/104,166
  6. Step 6: Final answer
    x = 498,760.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.