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Finding the Third Proportional to 150,042 and 226,669.50

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Solution

The third proportional to 150,042 and 226,669.50 is: 342,431.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,042 : 226,669.50 = 226,669.50 : x
  2. Step 2: Convert to fraction form
    150,042/226,669.50 = 226,669.50/x
  3. Step 3: Cross multiply
    150,042x = 226,669.50 × 226,669.50
  4. Step 4: Simplify right side
    150,042x = 51,379,062,230.25
  5. Step 5: Solve for x
    x = 51,379,062,230.25/150,042
  6. Step 6: Final answer
    x = 342,431.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.