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Finding the Third Proportional to 176,450 and 384,622

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Solution

The third proportional to 176,450 and 384,622 is: 838,390.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,450 : 384,622 = 384,622 : x
  2. Step 2: Convert to fraction form
    176,450/384,622 = 384,622/x
  3. Step 3: Cross multiply
    176,450x = 384,622 × 384,622
  4. Step 4: Simplify right side
    176,450x = 147,934,082,884
  5. Step 5: Solve for x
    x = 147,934,082,884/176,450
  6. Step 6: Final answer
    x = 838,390.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.