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Finding the Third Proportional to 177,559 and 239,227

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Solution

The third proportional to 177,559 and 239,227 is: 322,312.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,559 : 239,227 = 239,227 : x
  2. Step 2: Convert to fraction form
    177,559/239,227 = 239,227/x
  3. Step 3: Cross multiply
    177,559x = 239,227 × 239,227
  4. Step 4: Simplify right side
    177,559x = 57,229,557,529
  5. Step 5: Solve for x
    x = 57,229,557,529/177,559
  6. Step 6: Final answer
    x = 322,312.91

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.