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Finding the Third Proportional to 104,666 and 226,708

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Solution

The third proportional to 104,666 and 226,708 is: 491,052.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,666 : 226,708 = 226,708 : x
  2. Step 2: Convert to fraction form
    104,666/226,708 = 226,708/x
  3. Step 3: Cross multiply
    104,666x = 226,708 × 226,708
  4. Step 4: Simplify right side
    104,666x = 51,396,517,264
  5. Step 5: Solve for x
    x = 51,396,517,264/104,666
  6. Step 6: Final answer
    x = 491,052.66

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.