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Finding the Third Proportional to 166,442 and 356,212

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Solution

The third proportional to 166,442 and 356,212 is: 762,349.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,442 : 356,212 = 356,212 : x
  2. Step 2: Convert to fraction form
    166,442/356,212 = 356,212/x
  3. Step 3: Cross multiply
    166,442x = 356,212 × 356,212
  4. Step 4: Simplify right side
    166,442x = 126,886,988,944
  5. Step 5: Solve for x
    x = 126,886,988,944/166,442
  6. Step 6: Final answer
    x = 762,349.58

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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.