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Finding the Third Proportional to 161,493.75 and 231,174

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Solution

The third proportional to 161,493.75 and 231,174 is: 330,919.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,493.75 : 231,174 = 231,174 : x
  2. Step 2: Convert to fraction form
    161,493.75/231,174 = 231,174/x
  3. Step 3: Cross multiply
    161,493.75x = 231,174 × 231,174
  4. Step 4: Simplify right side
    161,493.75x = 53,441,418,276
  5. Step 5: Solve for x
    x = 53,441,418,276/161,493.75
  6. Step 6: Final answer
    x = 330,919.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.