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Finding the Third Proportional to 227,200 and 351,432

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Solution

The third proportional to 227,200 and 351,432 is: 543,593.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,200 : 351,432 = 351,432 : x
  2. Step 2: Convert to fraction form
    227,200/351,432 = 351,432/x
  3. Step 3: Cross multiply
    227,200x = 351,432 × 351,432
  4. Step 4: Simplify right side
    227,200x = 123,504,450,624
  5. Step 5: Solve for x
    x = 123,504,450,624/227,200
  6. Step 6: Final answer
    x = 543,593.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.