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Finding the Third Proportional to 151,231.50 and 223,398

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Solution

The third proportional to 151,231.50 and 223,398 is: 330,001.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,231.50 : 223,398 = 223,398 : x
  2. Step 2: Convert to fraction form
    151,231.50/223,398 = 223,398/x
  3. Step 3: Cross multiply
    151,231.50x = 223,398 × 223,398
  4. Step 4: Simplify right side
    151,231.50x = 49,906,666,404
  5. Step 5: Solve for x
    x = 49,906,666,404/151,231.50
  6. Step 6: Final answer
    x = 330,001.79

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.