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Finding the Third Proportional to 176,951 and 382,059

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Solution

The third proportional to 176,951 and 382,059 is: 824,912.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,951 : 382,059 = 382,059 : x
  2. Step 2: Convert to fraction form
    176,951/382,059 = 382,059/x
  3. Step 3: Cross multiply
    176,951x = 382,059 × 382,059
  4. Step 4: Simplify right side
    176,951x = 145,969,079,481
  5. Step 5: Solve for x
    x = 145,969,079,481/176,951
  6. Step 6: Final answer
    x = 824,912.43

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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.