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Finding the Third Proportional to 268,272 and 363,042

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Solution

The third proportional to 268,272 and 363,042 is: 491,290.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,272 : 363,042 = 363,042 : x
  2. Step 2: Convert to fraction form
    268,272/363,042 = 363,042/x
  3. Step 3: Cross multiply
    268,272x = 363,042 × 363,042
  4. Step 4: Simplify right side
    268,272x = 131,799,493,764
  5. Step 5: Solve for x
    x = 131,799,493,764/268,272
  6. Step 6: Final answer
    x = 491,290.53

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.