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Finding the Third Proportional to 227,353.50 and 347,934

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Solution

The third proportional to 227,353.50 and 347,934 is: 532,466.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,353.50 : 347,934 = 347,934 : x
  2. Step 2: Convert to fraction form
    227,353.50/347,934 = 347,934/x
  3. Step 3: Cross multiply
    227,353.50x = 347,934 × 347,934
  4. Step 4: Simplify right side
    227,353.50x = 121,058,068,356
  5. Step 5: Solve for x
    x = 121,058,068,356/227,353.50
  6. Step 6: Final answer
    x = 532,466.26

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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.