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Finding the Third Proportional to 169,905.50 and 237,698

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Solution

The third proportional to 169,905.50 and 237,698 is: 332,539.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,905.50 : 237,698 = 237,698 : x
  2. Step 2: Convert to fraction form
    169,905.50/237,698 = 237,698/x
  3. Step 3: Cross multiply
    169,905.50x = 237,698 × 237,698
  4. Step 4: Simplify right side
    169,905.50x = 56,500,339,204
  5. Step 5: Solve for x
    x = 56,500,339,204/169,905.50
  6. Step 6: Final answer
    x = 332,539.79

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.