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Finding the Third Proportional to 166,302 and 356,229

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Solution

The third proportional to 166,302 and 356,229 is: 763,064.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,302 : 356,229 = 356,229 : x
  2. Step 2: Convert to fraction form
    166,302/356,229 = 356,229/x
  3. Step 3: Cross multiply
    166,302x = 356,229 × 356,229
  4. Step 4: Simplify right side
    166,302x = 126,899,100,441
  5. Step 5: Solve for x
    x = 126,899,100,441/166,302
  6. Step 6: Final answer
    x = 763,064.19

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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.