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Finding the Third Proportional to 106,686 and 230,433

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Solution

The third proportional to 106,686 and 230,433 is: 497,716.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,686 : 230,433 = 230,433 : x
  2. Step 2: Convert to fraction form
    106,686/230,433 = 230,433/x
  3. Step 3: Cross multiply
    106,686x = 230,433 × 230,433
  4. Step 4: Simplify right side
    106,686x = 53,099,367,489
  5. Step 5: Solve for x
    x = 53,099,367,489/106,686
  6. Step 6: Final answer
    x = 497,716.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.