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Finding the Third Proportional to 184,729.25 and 399,819

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Solution

The third proportional to 184,729.25 and 399,819 is: 865,348.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,729.25 : 399,819 = 399,819 : x
  2. Step 2: Convert to fraction form
    184,729.25/399,819 = 399,819/x
  3. Step 3: Cross multiply
    184,729.25x = 399,819 × 399,819
  4. Step 4: Simplify right side
    184,729.25x = 159,855,232,761
  5. Step 5: Solve for x
    x = 159,855,232,761/184,729.25
  6. Step 6: Final answer
    x = 865,348.79

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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.