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Finding the Third Proportional to 207,380 and 444,134

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Solution

The third proportional to 207,380 and 444,134 is: 951,176.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,380 : 444,134 = 444,134 : x
  2. Step 2: Convert to fraction form
    207,380/444,134 = 444,134/x
  3. Step 3: Cross multiply
    207,380x = 444,134 × 444,134
  4. Step 4: Simplify right side
    207,380x = 197,255,009,956
  5. Step 5: Solve for x
    x = 197,255,009,956/207,380
  6. Step 6: Final answer
    x = 951,176.63

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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.