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Finding the Third Proportional to 150,052 and 226,686

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Solution

The third proportional to 150,052 and 226,686 is: 342,458.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,052 : 226,686 = 226,686 : x
  2. Step 2: Convert to fraction form
    150,052/226,686 = 226,686/x
  3. Step 3: Cross multiply
    150,052x = 226,686 × 226,686
  4. Step 4: Simplify right side
    150,052x = 51,386,542,596
  5. Step 5: Solve for x
    x = 51,386,542,596/150,052
  6. Step 6: Final answer
    x = 342,458.23

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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.