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Finding the Third Proportional to 227,288 and 347,850

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Solution

The third proportional to 227,288 and 347,850 is: 532,362.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,288 : 347,850 = 347,850 : x
  2. Step 2: Convert to fraction form
    227,288/347,850 = 347,850/x
  3. Step 3: Cross multiply
    227,288x = 347,850 × 347,850
  4. Step 4: Simplify right side
    227,288x = 120,999,622,500
  5. Step 5: Solve for x
    x = 120,999,622,500/227,288
  6. Step 6: Final answer
    x = 532,362.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.