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Finding the Third Proportional to 82,190 and 177,230

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Solution

The third proportional to 82,190 and 177,230 is: 382,169.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,190 : 177,230 = 177,230 : x
  2. Step 2: Convert to fraction form
    82,190/177,230 = 177,230/x
  3. Step 3: Cross multiply
    82,190x = 177,230 × 177,230
  4. Step 4: Simplify right side
    82,190x = 31,410,472,900
  5. Step 5: Solve for x
    x = 31,410,472,900/82,190
  6. Step 6: Final answer
    x = 382,169.03

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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.