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Finding the Third Proportional to 268,304 and 363,090

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Solution

The third proportional to 268,304 and 363,090 is: 491,361.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,304 : 363,090 = 363,090 : x
  2. Step 2: Convert to fraction form
    268,304/363,090 = 363,090/x
  3. Step 3: Cross multiply
    268,304x = 363,090 × 363,090
  4. Step 4: Simplify right side
    268,304x = 131,834,348,100
  5. Step 5: Solve for x
    x = 131,834,348,100/268,304
  6. Step 6: Final answer
    x = 491,361.84

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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.