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Finding the Third Proportional to 82,274 and 177,344

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Solution

The third proportional to 82,274 and 177,344 is: 382,270.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,274 : 177,344 = 177,344 : x
  2. Step 2: Convert to fraction form
    82,274/177,344 = 177,344/x
  3. Step 3: Cross multiply
    82,274x = 177,344 × 177,344
  4. Step 4: Simplify right side
    82,274x = 31,450,894,336
  5. Step 5: Solve for x
    x = 31,450,894,336/82,274
  6. Step 6: Final answer
    x = 382,270.15

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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.