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Finding the Third Proportional to 176,951 and 281,456

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Solution

The third proportional to 176,951 and 281,456 is: 447,680.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,951 : 281,456 = 281,456 : x
  2. Step 2: Convert to fraction form
    176,951/281,456 = 281,456/x
  3. Step 3: Cross multiply
    176,951x = 281,456 × 281,456
  4. Step 4: Simplify right side
    176,951x = 79,217,479,936
  5. Step 5: Solve for x
    x = 79,217,479,936/176,951
  6. Step 6: Final answer
    x = 447,680.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.