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Finding the Third Proportional to 227,784 and 351,948

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Solution

The third proportional to 227,784 and 351,948 is: 543,793.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,784 : 351,948 = 351,948 : x
  2. Step 2: Convert to fraction form
    227,784/351,948 = 351,948/x
  3. Step 3: Cross multiply
    227,784x = 351,948 × 351,948
  4. Step 4: Simplify right side
    227,784x = 123,867,394,704
  5. Step 5: Solve for x
    x = 123,867,394,704/227,784
  6. Step 6: Final answer
    x = 543,793.22

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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.