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Finding the Third Proportional to 169,221 and 376,266

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Solution

The third proportional to 169,221 and 376,266 is: 836,634.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,221 : 376,266 = 376,266 : x
  2. Step 2: Convert to fraction form
    169,221/376,266 = 376,266/x
  3. Step 3: Cross multiply
    169,221x = 376,266 × 376,266
  4. Step 4: Simplify right side
    169,221x = 141,576,102,756
  5. Step 5: Solve for x
    x = 141,576,102,756/169,221
  6. Step 6: Final answer
    x = 836,634.36

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.