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Finding the Third Proportional to 166,551 and 226,174.50

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Solution

The third proportional to 166,551 and 226,174.50 is: 307,142.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,551 : 226,174.50 = 226,174.50 : x
  2. Step 2: Convert to fraction form
    166,551/226,174.50 = 226,174.50/x
  3. Step 3: Cross multiply
    166,551x = 226,174.50 × 226,174.50
  4. Step 4: Simplify right side
    166,551x = 51,154,904,450.25
  5. Step 5: Solve for x
    x = 51,154,904,450.25/166,551
  6. Step 6: Final answer
    x = 307,142.58

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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.