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Finding the Third Proportional to 156,932 and 223,558

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Solution

The third proportional to 156,932 and 223,558 is: 318,470.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,932 : 223,558 = 223,558 : x
  2. Step 2: Convert to fraction form
    156,932/223,558 = 223,558/x
  3. Step 3: Cross multiply
    156,932x = 223,558 × 223,558
  4. Step 4: Simplify right side
    156,932x = 49,978,179,364
  5. Step 5: Solve for x
    x = 49,978,179,364/156,932
  6. Step 6: Final answer
    x = 318,470.29

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.