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Finding the Third Proportional to 106,600 and 234,664

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Solution

The third proportional to 106,600 and 234,664 is: 516,577.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,600 : 234,664 = 234,664 : x
  2. Step 2: Convert to fraction form
    106,600/234,664 = 234,664/x
  3. Step 3: Cross multiply
    106,600x = 234,664 × 234,664
  4. Step 4: Simplify right side
    106,600x = 55,067,192,896
  5. Step 5: Solve for x
    x = 55,067,192,896/106,600
  6. Step 6: Final answer
    x = 516,577.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.