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Finding the Third Proportional to 182,821.50 and 399,177

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Solution

The third proportional to 182,821.50 and 399,177 is: 871,572.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,821.50 : 399,177 = 399,177 : x
  2. Step 2: Convert to fraction form
    182,821.50/399,177 = 399,177/x
  3. Step 3: Cross multiply
    182,821.50x = 399,177 × 399,177
  4. Step 4: Simplify right side
    182,821.50x = 159,342,277,329
  5. Step 5: Solve for x
    x = 159,342,277,329/182,821.50
  6. Step 6: Final answer
    x = 871,572.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.