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Finding the Third Proportional to 150,906 and 226,377

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Solution

The third proportional to 150,906 and 226,377 is: 339,592.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,906 : 226,377 = 226,377 : x
  2. Step 2: Convert to fraction form
    150,906/226,377 = 226,377/x
  3. Step 3: Cross multiply
    150,906x = 226,377 × 226,377
  4. Step 4: Simplify right side
    150,906x = 51,246,546,129
  5. Step 5: Solve for x
    x = 51,246,546,129/150,906
  6. Step 6: Final answer
    x = 339,592.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.