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Finding the Third Proportional to 184,730.50 and 399,821

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Solution

The third proportional to 184,730.50 and 399,821 is: 865,351.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,730.50 : 399,821 = 399,821 : x
  2. Step 2: Convert to fraction form
    184,730.50/399,821 = 399,821/x
  3. Step 3: Cross multiply
    184,730.50x = 399,821 × 399,821
  4. Step 4: Simplify right side
    184,730.50x = 159,856,832,041
  5. Step 5: Solve for x
    x = 159,856,832,041/184,730.50
  6. Step 6: Final answer
    x = 865,351.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.