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Finding the Third Proportional to 106,770 and 226,709

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Solution

The third proportional to 106,770 and 226,709 is: 481,380.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,770 : 226,709 = 226,709 : x
  2. Step 2: Convert to fraction form
    106,770/226,709 = 226,709/x
  3. Step 3: Cross multiply
    106,770x = 226,709 × 226,709
  4. Step 4: Simplify right side
    106,770x = 51,396,970,681
  5. Step 5: Solve for x
    x = 51,396,970,681/106,770
  6. Step 6: Final answer
    x = 481,380.26

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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.