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Finding the Third Proportional to 207,345 and 444,174

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Solution

The third proportional to 207,345 and 444,174 is: 951,508.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,345 : 444,174 = 444,174 : x
  2. Step 2: Convert to fraction form
    207,345/444,174 = 444,174/x
  3. Step 3: Cross multiply
    207,345x = 444,174 × 444,174
  4. Step 4: Simplify right side
    207,345x = 197,290,542,276
  5. Step 5: Solve for x
    x = 197,290,542,276/207,345
  6. Step 6: Final answer
    x = 951,508.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.