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Finding the Third Proportional to 233,482 and 350,227

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Solution

The third proportional to 233,482 and 350,227 is: 525,346.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,482 : 350,227 = 350,227 : x
  2. Step 2: Convert to fraction form
    233,482/350,227 = 350,227/x
  3. Step 3: Cross multiply
    233,482x = 350,227 × 350,227
  4. Step 4: Simplify right side
    233,482x = 122,658,951,529
  5. Step 5: Solve for x
    x = 122,658,951,529/233,482
  6. Step 6: Final answer
    x = 525,346.50

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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.