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Finding the Third Proportional to 223,668 and 447,174

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Solution

The third proportional to 223,668 and 447,174 is: 894,024.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,668 : 447,174 = 447,174 : x
  2. Step 2: Convert to fraction form
    223,668/447,174 = 447,174/x
  3. Step 3: Cross multiply
    223,668x = 447,174 × 447,174
  4. Step 4: Simplify right side
    223,668x = 199,964,586,276
  5. Step 5: Solve for x
    x = 199,964,586,276/223,668
  6. Step 6: Final answer
    x = 894,024.12

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.