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Finding the Third Proportional to 268,298 and 363,081

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Solution

The third proportional to 268,298 and 363,081 is: 491,348.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,298 : 363,081 = 363,081 : x
  2. Step 2: Convert to fraction form
    268,298/363,081 = 363,081/x
  3. Step 3: Cross multiply
    268,298x = 363,081 × 363,081
  4. Step 4: Simplify right side
    268,298x = 131,827,812,561
  5. Step 5: Solve for x
    x = 131,827,812,561/268,298
  6. Step 6: Final answer
    x = 491,348.47

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Why These Related Problems?

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