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Finding the Third Proportional to 167,724 and 227,906

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Solution

The third proportional to 167,724 and 227,906 is: 309,682.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,724 : 227,906 = 227,906 : x
  2. Step 2: Convert to fraction form
    167,724/227,906 = 227,906/x
  3. Step 3: Cross multiply
    167,724x = 227,906 × 227,906
  4. Step 4: Simplify right side
    167,724x = 51,941,144,836
  5. Step 5: Solve for x
    x = 51,941,144,836/167,724
  6. Step 6: Final answer
    x = 309,682.24

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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.