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Finding the Third Proportional to 243,397 and 363,067

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Solution

The third proportional to 243,397 and 363,067 is: 541,574.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,397 : 363,067 = 363,067 : x
  2. Step 2: Convert to fraction form
    243,397/363,067 = 363,067/x
  3. Step 3: Cross multiply
    243,397x = 363,067 × 363,067
  4. Step 4: Simplify right side
    243,397x = 131,817,646,489
  5. Step 5: Solve for x
    x = 131,817,646,489/243,397
  6. Step 6: Final answer
    x = 541,574.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.