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Finding the Third Proportional to 148,728 and 226,576.50

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Solution

The third proportional to 148,728 and 226,576.50 is: 345,173.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,728 : 226,576.50 = 226,576.50 : x
  2. Step 2: Convert to fraction form
    148,728/226,576.50 = 226,576.50/x
  3. Step 3: Cross multiply
    148,728x = 226,576.50 × 226,576.50
  4. Step 4: Simplify right side
    148,728x = 51,336,910,352.25
  5. Step 5: Solve for x
    x = 51,336,910,352.25/148,728
  6. Step 6: Final answer
    x = 345,173.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.