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Finding the Third Proportional to 166,266 and 356,157

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Solution

The third proportional to 166,266 and 356,157 is: 762,920.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,266 : 356,157 = 356,157 : x
  2. Step 2: Convert to fraction form
    166,266/356,157 = 356,157/x
  3. Step 3: Cross multiply
    166,266x = 356,157 × 356,157
  4. Step 4: Simplify right side
    166,266x = 126,847,808,649
  5. Step 5: Solve for x
    x = 126,847,808,649/166,266
  6. Step 6: Final answer
    x = 762,920.91

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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.