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Finding the Third Proportional to 82,304 and 177,652

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Solution

The third proportional to 82,304 and 177,652 is: 383,459.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,304 : 177,652 = 177,652 : x
  2. Step 2: Convert to fraction form
    82,304/177,652 = 177,652/x
  3. Step 3: Cross multiply
    82,304x = 177,652 × 177,652
  4. Step 4: Simplify right side
    82,304x = 31,560,233,104
  5. Step 5: Solve for x
    x = 31,560,233,104/82,304
  6. Step 6: Final answer
    x = 383,459.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.