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Finding the Third Proportional to 206,634 and 314,067

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Solution

The third proportional to 206,634 and 314,067 is: 477,356.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,634 : 314,067 = 314,067 : x
  2. Step 2: Convert to fraction form
    206,634/314,067 = 314,067/x
  3. Step 3: Cross multiply
    206,634x = 314,067 × 314,067
  4. Step 4: Simplify right side
    206,634x = 98,638,080,489
  5. Step 5: Solve for x
    x = 98,638,080,489/206,634
  6. Step 6: Final answer
    x = 477,356.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.