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Finding the Third Proportional to 166,233 and 353,229

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Solution

The third proportional to 166,233 and 353,229 is: 750,577.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,233 : 353,229 = 353,229 : x
  2. Step 2: Convert to fraction form
    166,233/353,229 = 353,229/x
  3. Step 3: Cross multiply
    166,233x = 353,229 × 353,229
  4. Step 4: Simplify right side
    166,233x = 124,770,726,441
  5. Step 5: Solve for x
    x = 124,770,726,441/166,233
  6. Step 6: Final answer
    x = 750,577.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.