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Finding the Third Proportional to 192,001.50 and 258,471

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Solution

The third proportional to 192,001.50 and 258,471 is: 347,951.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,001.50 : 258,471 = 258,471 : x
  2. Step 2: Convert to fraction form
    192,001.50/258,471 = 258,471/x
  3. Step 3: Cross multiply
    192,001.50x = 258,471 × 258,471
  4. Step 4: Simplify right side
    192,001.50x = 66,807,257,841
  5. Step 5: Solve for x
    x = 66,807,257,841/192,001.50
  6. Step 6: Final answer
    x = 347,951.75

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.