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Finding the Third Proportional to 106,708 and 226,559

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Solution

The third proportional to 106,708 and 226,559 is: 481,022.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,708 : 226,559 = 226,559 : x
  2. Step 2: Convert to fraction form
    106,708/226,559 = 226,559/x
  3. Step 3: Cross multiply
    106,708x = 226,559 × 226,559
  4. Step 4: Simplify right side
    106,708x = 51,328,980,481
  5. Step 5: Solve for x
    x = 51,328,980,481/106,708
  6. Step 6: Final answer
    x = 481,022.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.