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Finding the Third Proportional to 82,836 and 177,309

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Solution

The third proportional to 82,836 and 177,309 is: 379,526.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,836 : 177,309 = 177,309 : x
  2. Step 2: Convert to fraction form
    82,836/177,309 = 177,309/x
  3. Step 3: Cross multiply
    82,836x = 177,309 × 177,309
  4. Step 4: Simplify right side
    82,836x = 31,438,481,481
  5. Step 5: Solve for x
    x = 31,438,481,481/82,836
  6. Step 6: Final answer
    x = 379,526.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.