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Finding the Third Proportional to 196,176 and 423,450

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Solution

The third proportional to 196,176 and 423,450 is: 914,025.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,176 : 423,450 = 423,450 : x
  2. Step 2: Convert to fraction form
    196,176/423,450 = 423,450/x
  3. Step 3: Cross multiply
    196,176x = 423,450 × 423,450
  4. Step 4: Simplify right side
    196,176x = 179,309,902,500
  5. Step 5: Solve for x
    x = 179,309,902,500/196,176
  6. Step 6: Final answer
    x = 914,025.68

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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.