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Finding the Third Proportional to 167,466 and 227,408

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Solution

The third proportional to 167,466 and 227,408 is: 308,805.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,466 : 227,408 = 227,408 : x
  2. Step 2: Convert to fraction form
    167,466/227,408 = 227,408/x
  3. Step 3: Cross multiply
    167,466x = 227,408 × 227,408
  4. Step 4: Simplify right side
    167,466x = 51,714,398,464
  5. Step 5: Solve for x
    x = 51,714,398,464/167,466
  6. Step 6: Final answer
    x = 308,805.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.