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Finding the Third Proportional to 227,077 and 343,759.50

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Solution

The third proportional to 227,077 and 343,759.50 is: 520,398.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,077 : 343,759.50 = 343,759.50 : x
  2. Step 2: Convert to fraction form
    227,077/343,759.50 = 343,759.50/x
  3. Step 3: Cross multiply
    227,077x = 343,759.50 × 343,759.50
  4. Step 4: Simplify right side
    227,077x = 118,170,593,840.25
  5. Step 5: Solve for x
    x = 118,170,593,840.25/227,077
  6. Step 6: Final answer
    x = 520,398.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.