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Finding the Third Proportional to 184,044.66 and 389,309.41

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Solution

The third proportional to 184,044.66 and 389,309.41 is: 823,505.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,044.66 : 389,309.41 = 389,309.41 : x
  2. Step 2: Convert to fraction form
    184,044.66/389,309.41 = 389,309.41/x
  3. Step 3: Cross multiply
    184,044.66x = 389,309.41 × 389,309.41
  4. Step 4: Simplify right side
    184,044.66x = 151,561,819,877.69
  5. Step 5: Solve for x
    x = 151,561,819,877.69/184,044.66
  6. Step 6: Final answer
    x = 823,505.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.