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Finding the Third Proportional to 177,304 and 265,956

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Solution

The third proportional to 177,304 and 265,956 is: 398,934

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,304 : 265,956 = 265,956 : x
  2. Step 2: Convert to fraction form
    177,304/265,956 = 265,956/x
  3. Step 3: Cross multiply
    177,304x = 265,956 × 265,956
  4. Step 4: Simplify right side
    177,304x = 70,732,593,936
  5. Step 5: Solve for x
    x = 70,732,593,936/177,304
  6. Step 6: Final answer
    x = 398,934

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.