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Finding the Third Proportional to 176,949 and 281,453

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Solution

The third proportional to 176,949 and 281,453 is: 447,675.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,949 : 281,453 = 281,453 : x
  2. Step 2: Convert to fraction form
    176,949/281,453 = 281,453/x
  3. Step 3: Cross multiply
    176,949x = 281,453 × 281,453
  4. Step 4: Simplify right side
    176,949x = 79,215,791,209
  5. Step 5: Solve for x
    x = 79,215,791,209/176,949
  6. Step 6: Final answer
    x = 447,675.83

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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.